292 lines
17 KiB
HTML
292 lines
17 KiB
HTML
<!DOCTYPE html>
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<html lang="zh" dir="ltr" class="client-nojs" xmlns="http://www.w3.org/1999/xhtml" xml:lang="zh">
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<head><meta http-equiv="x-ua-compatible" content="ie=edge">
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<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
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<title>div, ldiv, lldiv, imaxdiv</title>
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<link rel="stylesheet" href="ext.css" />
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<link rel="stylesheet" href="site_modules.css" />
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</head>
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<body class="mediawiki ltr sitedir-ltr ns-0 ns-subject page-c_numeric_math_div skin-cppreference2 action-view cpp-navbar">
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<div id="cpp-content-base">
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<div id="content"><a id="top"></a>
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<h1 id="firstHeading" class="firstHeading">div, ldiv, lldiv, imaxdiv</h1>
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<div id="bodyContent">
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<div id="contentSub"><span class="subpages">< <a href="c.html">c</a>‎ | <a href="c-numeric.html">numeric</a>‎ | <a href="c-numeric-math.html">math</a></span></div>
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<div id="mw-content-text" lang="zh" dir="ltr" class="mw-content-ltr" xml:lang="zh">
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<table class="t-dcl-begin">
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<tbody>
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<tr class="t-dsc-header">
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<td>
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<div>定义于头文件 <code><stdlib.h></code></div>
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</td>
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<td></td>
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<td></td>
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</tr>
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<tr class="t-dcl">
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<td>
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<div><span class="mw-geshi c source-c">div_t div<span class="br0">(</span> <span class="kw4">int</span> x, <span class="kw4">int</span> y <span class="br0">)</span><span class="sy4">;</span></span></div>
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</td>
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<td>(1)</td>
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<td class="t-dcl-nopad"></td>
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</tr>
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<tr class="t-dcl">
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<td>
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<div><span class="mw-geshi c source-c">ldiv_t ldiv<span class="br0">(</span> <span class="kw4">long</span> x, <span class="kw4">long</span> y <span class="br0">)</span><span class="sy4">;</span></span></div>
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</td>
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<td>(2)</td>
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<td class="t-dcl-nopad"></td>
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</tr>
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<tr class="t-dcl t-since-c99">
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<td>
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<div><span class="mw-geshi c source-c">lldiv_t lldiv<span class="br0">(</span> <span class="kw4">long</span> <span class="kw4">long</span> x, <span class="kw4">long</span> <span class="kw4">long</span> y <span class="br0">)</span><span class="sy4">;</span></span></div>
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</td>
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<td>(3)</td>
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<td><span class="t-mark-rev t-since-c99">(C99 起)</span></td>
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</tr>
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<tr class="t-dsc-header">
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<td>
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<div>定义于头文件 <code><inttypes.h></code></div>
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</td>
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<td></td>
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<td></td>
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</tr>
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<tr class="t-dcl t-since-c99">
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<td>
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<div><span class="mw-geshi c source-c">imaxdiv_t imaxdiv<span class="br0">(</span> <a href="c-types-integer.html"><span class="kw118">intmax_t</span></a> x, <a href="c-types-integer.html"><span class="kw118">intmax_t</span></a> y <span class="br0">)</span><span class="sy4">;</span></span></div>
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</td>
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<td>(4)</td>
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<td><span class="t-mark-rev t-since-c99">(C99 起)</span></td>
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</tr>
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<tr class="t-dcl-sep">
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<td></td>
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<td></td>
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<td></td>
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</tr>
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</tbody>
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</table>
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<p>计算分子 <code>x</code> 除以分母 <code>y</code> 的商和余数。</p>
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<table class="t-rev-begin">
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<tr class="t-rev t-until-c99">
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<td>
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<p>同时计算商和余数。商为舍弃小数部分(向零取整)的代数商。余数满足 <span class="t-c"><span class="mw-geshi c source-c">quot <span class="sy2">*</span> y <span class="sy2">+</span> rem <span class="sy1">==</span> x</span></span> 的值。</p>
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</td>
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<td><span class="t-mark-rev t-until-c99">(C99 前)</span></td>
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</tr>
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<tr class="t-rev t-since-c99">
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<td>
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<p>同时计算商(表达式 <span class="t-c"><span class="mw-geshi c source-c">x<span class="sy2">/</span>y</span></span> 的结果)和余数(表达式 <span class="t-c"><span class="mw-geshi c source-c">x<span class="sy2">%</span>y</span></span> 的结果)。</p>
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</td>
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<td><span class="t-mark-rev t-since-c99">(C99 起)</span></td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E5.8F.82.E6.95.B0">参数</span></h3>
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<table class="t-par-begin">
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<tr class="t-par">
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<td>x, y</td>
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<td>-</td>
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<td>整数值</td>
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</tr>
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</table>
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<h3><span class="mw-headline" id=".E8.BF.94.E5.9B.9E.E5.80.BC">返回值</span></h3>
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<p>若余数和商都能表示成对应类型的对象(分别为 <code>div_t</code> 、 <code>ldiv_t</code> 、 <code>lldiv_t</code> 、 <code>imaxdiv_t</code> ),则将两者作为返回作为定义如下的 <code>div_t</code> 、 <code>ldiv_t</code> 、 <code>lldiv_t</code> 、 <code>imaxdiv_t</code> 类型对象返回:</p>
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<div class="t-member">
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<h2><span class="mw-headline" id="div_t">div_t</span></h2>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> div_t <span class="br0">{</span> <span class="kw4">int</span> quot<span class="sy4">;</span> <span class="kw4">int</span> rem<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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<p>或</p>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> div_t <span class="br0">{</span> <span class="kw4">int</span> rem<span class="sy4">;</span> <span class="kw4">int</span> quot<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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</div>
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<div class="t-member">
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<h2><span class="mw-headline" id="ldiv_t">ldiv_t</span></h2>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> ldiv_t <span class="br0">{</span> <span class="kw4">long</span> quot<span class="sy4">;</span> <span class="kw4">long</span> rem<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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<p>或</p>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> ldiv_t <span class="br0">{</span> <span class="kw4">long</span> rem<span class="sy4">;</span> <span class="kw4">long</span> quot<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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</div>
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<div class="t-member">
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<h2><span class="mw-headline" id="lldiv_t">lldiv_t</span></h2>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> lldiv_t <span class="br0">{</span> <span class="kw4">long</span> <span class="kw4">long</span> quot<span class="sy4">;</span> <span class="kw4">long</span> <span class="kw4">long</span> rem<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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<p>或</p>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> lldiv_t <span class="br0">{</span> <span class="kw4">long</span> <span class="kw4">long</span> rem<span class="sy4">;</span> <span class="kw4">long</span> <span class="kw4">long</span> quot<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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</div>
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<div class="t-member">
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<h2><span class="mw-headline" id="imaxdiv_t">imaxdiv_t</span></h2>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> imaxdiv_t <span class="br0">{</span> <a href="c-types-integer.html"><span class="kw118">intmax_t</span></a> quot<span class="sy4">;</span> <a href="c-types-integer.html"><span class="kw118">intmax_t</span></a> rem<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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<p>或</p>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="kw1">struct</span> imaxdiv_t <span class="br0">{</span> <a href="c-types-integer.html"><span class="kw118">intmax_t</span></a> rem<span class="sy4">;</span> <a href="c-types-integer.html"><span class="kw118">intmax_t</span></a> quot<span class="sy4">;</span> <span class="br0">}</span><span class="sy4">;</span></pre></div>
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</div>
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</div>
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<p><br />
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若余数或商无法表示,则行为未定义。</p>
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<h3><span class="mw-headline" id=".E6.B3.A8.E6.84.8F">注意</span></h3>
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<p>C99 前,若运算数之一为负,则内建的除法和取余运算符中的商取整方向和余数符号是实现定义的,但它在 <code>div</code> 和 <code>ldiv</code> 中良好定义。</p>
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<p>多数平台上,单条 CPU 指令获得商和余数,而此函数可以活用这点,尽管编译器通常能在适合处合并临近的 / 和 % 。</p>
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<h3><span class="mw-headline" id=".E7.A4.BA.E4.BE.8B">示例</span></h3>
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<div class="t-example">
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<div class="t-example-live-link"></div>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="c source-c">
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<pre class="de1"><span class="co2">#include <stdio.h></span>
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<span class="co2">#include <math.h></span>
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<span class="co2">#include <stdlib.h></span>
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<span class="co1">// 只为演示:不检查缓冲区溢出</span>
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<span class="kw4">void</span> itoa<span class="br0">(</span><span class="kw4">int</span> n, <span class="kw4">int</span> base, <span class="kw4">char</span><span class="sy2">*</span> buf<span class="br0">)</span>
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<span class="br0">{</span>
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div_t dv <span class="sy1">=</span> <span class="br0">{</span>.<span class="me1">quot</span> <span class="sy1">=</span> n<span class="br0">}</span><span class="sy4">;</span>
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<span class="kw4">char</span><span class="sy2">*</span> p <span class="sy1">=</span> buf<span class="sy4">;</span>
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<span class="kw1">do</span> <span class="br0">{</span>
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dv <span class="sy1">=</span> div<span class="br0">(</span>dv.<span class="me1">quot</span>, base<span class="br0">)</span><span class="sy4">;</span>
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<span class="sy2">*</span>p<span class="sy2">++</span> <span class="sy1">=</span> <span class="st0">"0123456789abcdef"</span><span class="br0">[</span><a href="c-numeric-math-abs.html"><span class="kw641">abs</span></a><span class="br0">(</span>dv.<span class="me1">rem</span><span class="br0">)</span><span class="br0">]</span><span class="sy4">;</span>
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<span class="br0">}</span> <span class="kw1">while</span><span class="br0">(</span>dv.<span class="me1">quot</span><span class="br0">)</span><span class="sy4">;</span>
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<span class="kw1">if</span><span class="br0">(</span>n<span class="sy1"><</span><span class="nu0">0</span><span class="br0">)</span> <span class="sy2">*</span>p<span class="sy2">++</span> <span class="sy1">=</span> <span class="st0">'-'</span><span class="sy4">;</span>
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<span class="sy2">*</span>p<span class="sy2">--</span> <span class="sy1">=</span> <span class="st0">'<span class="es5">\0</span>'</span><span class="sy4">;</span>
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<span class="kw1">while</span><span class="br0">(</span>buf <span class="sy1"><</span> p<span class="br0">)</span> <span class="br0">{</span> <span class="kw4">char</span> c <span class="sy1">=</span> <span class="sy2">*</span>p<span class="sy4">;</span> <span class="sy2">*</span>p<span class="sy2">--</span> <span class="sy1">=</span> <span class="sy2">*</span>buf<span class="sy4">;</span> <span class="sy2">*</span>buf<span class="sy2">++</span> <span class="sy1">=</span> c<span class="sy4">;</span> <span class="br0">}</span> <span class="co1">// 反转</span>
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<span class="br0">}</span>
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<span class="kw4">int</span> main<span class="br0">(</span><span class="kw4">void</span><span class="br0">)</span>
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<span class="br0">{</span>
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<span class="kw4">char</span> buf<span class="br0">[</span><span class="nu0">100</span><span class="br0">]</span><span class="sy4">;</span>
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itoa<span class="br0">(</span><span class="nu0">12346</span>, <span class="nu0">10</span>, buf<span class="br0">)</span><span class="sy4">;</span>
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<a href="c-io-fprintf.html"><span class="kw849">printf</span></a><span class="br0">(</span><span class="st0">"%s<span class="es1">\n</span>"</span>, buf<span class="br0">)</span><span class="sy4">;</span>
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itoa<span class="br0">(</span><span class="sy2">-</span><span class="nu0">12346</span>, <span class="nu0">10</span>, buf<span class="br0">)</span><span class="sy4">;</span>
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<a href="c-io-fprintf.html"><span class="kw849">printf</span></a><span class="br0">(</span><span class="st0">"%s<span class="es1">\n</span>"</span>, buf<span class="br0">)</span><span class="sy4">;</span>
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itoa<span class="br0">(</span><span class="nu0">65535</span>, <span class="nu0">16</span>, buf<span class="br0">)</span><span class="sy4">;</span>
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<a href="c-io-fprintf.html"><span class="kw849">printf</span></a><span class="br0">(</span><span class="st0">"%s<span class="es1">\n</span>"</span>, buf<span class="br0">)</span><span class="sy4">;</span>
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<span class="br0">}</span></pre></div>
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</div>
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<p>输出:</p>
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<div dir="ltr" class="mw-geshi" style="text-align: left;">
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<div class="text source-text">
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<pre class="de1">12346
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-12346
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ffff</pre></div>
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</div>
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</div>
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<h3><span class="mw-headline" id=".E5.BC.95.E7.94.A8">引用</span></h3>
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<div class="t-ref-std-11">
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<ul>
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<li>C11 标准(ISO/IEC 9899:2011):</li>
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</ul>
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<dl>
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<dd>
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<ul>
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<li>7.8.2.2 The imaxdiv function (p: 219)</li>
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</ul>
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</dd>
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</dl>
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<dl>
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<dd>
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<ul>
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<li>7.22.6.2 The div, ldiv and lldiv functions (p: 356)</li>
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</ul>
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</dd>
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</dl>
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<div class="t-ref-std-c99">
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<ul>
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<li>C99 标准(ISO/IEC 9899:1999):</li>
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</ul>
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<dl>
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<dd>
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<ul>
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<li>7.8.2.2 The imaxdiv function (p: 200)</li>
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</ul>
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</dd>
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</dl>
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<dl>
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<dd>
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<ul>
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<li>7.20.6.2 The div, ldiv and lldiv functions (p: 320)</li>
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</ul>
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</dd>
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</dl>
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<div class="t-ref-std-c89">
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<ul>
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<li>C89/C90 标准(ISO/IEC 9899:1990):</li>
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</ul>
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<dl>
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<dd>
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<ul>
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<li>4.10 div_t, ldiv_t</li>
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</ul>
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</dd>
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</dl>
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<dl>
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<dd>
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<ul>
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<li>4.10.6.2 The div function</li>
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</ul>
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</dd>
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</dl>
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<dl>
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<dd>
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<ul>
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<li>4.10.6.4 The ldiv function</li>
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</ul>
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</dd>
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</dl>
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</div>
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<h3><span class="mw-headline" id=".E5.8F.82.E9.98.85">参阅</span></h3>
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<table class="t-dsc-begin">
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="c-numeric-math-fmod.html"><span class="t-lines"><span>fmod</span><span>fmodf</span><span>fmodl</span></span></a></div>
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<div><span class="t-lines"><span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div>
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</div>
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</td>
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<td>计算浮点除法运算的余数<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="c-numeric-math-remainder.html"><span class="t-lines"><span>remainder</span><span>remainderf</span><span>remainderl</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div>
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</div>
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</td>
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<td>计算浮点除法运算的带符号余数<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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<tr class="t-dsc">
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<td>
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<div class="t-dsc-member-div">
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<div><a href="c-numeric-math-remquo.html"><span class="t-lines"><span>remquo</span><span>remquof</span><span>remquol</span></span></a></div>
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<div><span class="t-lines"><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span><span><span class="t-mark-rev t-since-c99">(C99)</span></span></span></div>
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</div>
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</td>
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<td>计算除法运算的带符号余数,以及商的后三位<br />
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<span class="t-mark">(函数)</span></td>
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</tr>
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</table>
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</div>
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</div>
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</div>
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<div class="visualClear"></div>
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</div>
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</div>
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</div>
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</body>
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</html>
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