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Description
tab: English
<p>Given two integers representing the <code>numerator</code> and <code>denominator</code> of a fraction, return <em>the fraction in string format</em>.</p>
<p>If the fractional part is repeating, enclose the repeating part in parentheses</p>
<p>If multiple answers are possible, return <strong>any of them</strong>.</p>
<p>It is <strong>guaranteed</strong> that the length of the answer string is less than <code>10<sup>4</sup></code> for all the given inputs.</p>
<p><strong>Note</strong> that if the fraction can be represented as a <em>finite length string</em>, you <strong>must</strong> return it.</p>
<p> </p>
<p><strong class="example">Example 1:</strong></p>
<pre>
<strong>Input:</strong> numerator = 1, denominator = 2
<strong>Output:</strong> "0.5"
</pre>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> numerator = 2, denominator = 1
<strong>Output:</strong> "2"
</pre>
<p><strong class="example">Example 3:</strong></p>
<pre>
<strong>Input:</strong> numerator = 4, denominator = 333
<strong>Output:</strong> "0.(012)"
</pre>
<p> </p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>-2<sup>31</sup> <= numerator, denominator <= 2<sup>31</sup> - 1</code></li>
<li><code>denominator != 0</code></li>
</ul>
> [!tip]- Hint 1
>
> No scary math, just apply elementary math knowledge. Still remember how to perform a <i>long division</i>?
> [!tip]- Hint 2
>
> Try a long division on 4/9, the repeating part is obvious. Now try 4/333. Do you see a pattern?
> [!tip]- Hint 3
>
> Notice that once the remainder starts repeating, so does the divided result.
> [!tip]- Hint 4
>
> Be wary of edge cases! List out as many test cases as you can think of and test your code thoroughly.
---
[submissions](https://leetcode.com/problems/fraction-to-recurring-decimal/submissions/) | [solutions](https://leetcode.com/problems/fraction-to-recurring-decimal/solutions/)
tab: 中文
<p>给定两个整数，分别表示分数的分子 <code>numerator</code> 和分母 <code>denominator</code>，以 <strong>字符串形式返回小数</strong> 。</p>
<p>如果小数部分为循环小数，则将循环的部分括在括号内。</p>
<p>如果存在多个答案，只需返回 <strong>任意一个</strong> 。</p>
<p>对于所有给定的输入，<strong>保证</strong> 答案字符串的长度小于 <code>10<sup>4</sup></code> 。</p>
<p><strong>注意</strong>，如果分数可以表示为有限长度的字符串，则 <strong>必须</strong> 返回它。</p>
<p> </p>
<p><strong>示例 1：</strong></p>
<pre>
<strong>输入：</strong>numerator = 1, denominator = 2
<strong>输出：</strong>"0.5"
</pre>
<p><strong>示例 2：</strong></p>
<pre>
<strong>输入：</strong>numerator = 2, denominator = 1
<strong>输出：</strong>"2"
</pre>
<p><strong>示例 3：</strong></p>
<pre>
<strong>输入：</strong>numerator = 4, denominator = 333
<strong>输出：</strong>"0.(012)"
</pre>
<p> </p>
<p><strong>提示：</strong></p>
<ul>
<li><code>-2<sup>31</sup> <= numerator, denominator <= 2<sup>31</sup> - 1</code></li>
<li><code>denominator != 0</code></li>
</ul>
> [!tip]- 提示 1
>
> No scary math, just apply elementary math knowledge. Still remember how to perform a <i>long division</i>?
> [!tip]- 提示 2
>
> Try a long division on 4/9, the repeating part is obvious. Now try 4/333. Do you see a pattern?
> [!tip]- 提示 3
>
> Notice that once the remainder starts repeating, so does the divided result.
> [!tip]- 提示 4
>
> Be wary of edge cases! List out as many test cases as you can think of and test your code thoroughly.
---
[提交记录](https://leetcode.cn/problems/fraction-to-recurring-decimal/submissions/) | [题解](https://leetcode.cn/problems/fraction-to-recurring-decimal/solution/)
Solutions & Notes
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