This commit is contained in:
krahets
2026-08-18 03:09:26 +08:00
parent 0375f25b66
commit fde23f369e
158 changed files with 312 additions and 282 deletions
@@ -4787,7 +4787,7 @@ n & \geq 4
<li>输入整数 <span class="arithmatex">\(n\)</span> ,从其不断地切分出因子 <span class="arithmatex">\(3\)</span> ,直至余数为 <span class="arithmatex">\(0\)</span><span class="arithmatex">\(1\)</span><span class="arithmatex">\(2\)</span></li>
<li>当余数为 <span class="arithmatex">\(0\)</span> 时,代表 <span class="arithmatex">\(n\)</span><span class="arithmatex">\(3\)</span> 的倍数,因此不做任何处理。</li>
<li>当余数为 <span class="arithmatex">\(2\)</span> 时,不继续划分,保留。</li>
<li>当余数为 <span class="arithmatex">\(1\)</span> 时,由于 <span class="arithmatex">\(2 \times 2 &gt; 1 \times 3\)</span> ,因此应将最后一个 <span class="arithmatex">\(3\)</span> 替换为 <span class="arithmatex">\(2\)</span></li>
<li>当余数为 <span class="arithmatex">\(1\)</span> 时,由于 <span class="arithmatex">\(2 \times 2 &gt; 1 \times 3\)</span> ,因此应将最后一个 <span class="arithmatex">\(3\)</span> 和余数 <span class="arithmatex">\(1\)</span> 替换为两个 <span class="arithmatex">\(2\)</span></li>
</ol>
<h3 id="2">2. &nbsp; 代码实现<a class="headerlink" href="#2" title="Permanent link">&para;</a></h3>
<p>如图 15-16 所示,我们无须通过循环来切分整数,而可以利用向下整除运算得到 <span class="arithmatex">\(3\)</span> 的个数 <span class="arithmatex">\(a\)</span> ,用取模运算得到余数 <span class="arithmatex">\(b\)</span> ,此时有:</p>