mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
151 lines
16 KiB
JSON
151 lines
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"title": "Deep Dark Fraction",
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"content": "<p>English description is not available for the problem. Please switch to Chinese.<br />\r\n </p>\r\n",
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"translatedTitle": "分式化简",
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"translatedContent": "<p>有一个同学在学习分式。他需要将一个连分数化成最简分数，你能帮助他吗？</p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/09/09/fraction_example_1.jpg\" style=\"height: 195px; width: 480px;\" /></p>\n\n<p>连分数是形如上图的分式。在本题中，所有系数都是大于等于0的整数。</p>\n\n<p> </p>\n\n<p>输入的<code>cont</code>代表连分数的系数（<code>cont[0]</code>代表上图的<code>a<sub>0</sub></code>，以此类推）。返回一个长度为2的数组<code>[n, m]</code>，使得连分数的值等于<code>n / m</code>，且<code>n, m</code>最大公约数为1。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>cont = [3, 2, 0, 2]\n<strong>输出：</strong>[13, 4]\n<strong>解释：</strong>原连分数等价于3 + (1 / (2 + (1 / (0 + 1 / 2))))。注意[26, 8], [-13, -4]都不是正确答案。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>cont = [0, 0, 3]\n<strong>输出：</strong>[3, 1]\n<strong>解释：</strong>如果答案是整数，令分母为1即可。</pre>\n\n<p> </p>\n\n<p><strong>限制：</strong></p>\n\n<ol>\n\t<li><code>cont[i] >= 0</code></li>\n\t<li><code>1 <= cont的长度 <= 10</code></li>\n\t<li><code>cont</code>最后一个元素不等于0</li>\n\t<li>答案的<code>n, m</code>的取值都能被32位int整型存下（即不超过<code>2 ^ 31 - 1</code>）。</li>\n</ol>\n",
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