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leetcode-problemset/leetcode-cn/originData/simplified-fractions.json

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"categoryTitle": "Algorithms",
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"title": "Simplified Fractions",
"titleSlug": "simplified-fractions",
"content": "<p>Given an integer <code>n</code>, return <em>a list of all <strong>simplified</strong> fractions between </em><code>0</code><em> and </em><code>1</code><em> (exclusive) such that the denominator is less-than-or-equal-to </em><code>n</code>. You can return the answer in <strong>any order</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2\n<strong>Output:</strong> [&quot;1/2&quot;]\n<strong>Explanation:</strong> &quot;1/2&quot; is the only unique fraction with a denominator less-than-or-equal-to 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3\n<strong>Output:</strong> [&quot;1/2&quot;,&quot;1/3&quot;,&quot;2/3&quot;]\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4\n<strong>Output:</strong> [&quot;1/2&quot;,&quot;1/3&quot;,&quot;1/4&quot;,&quot;2/3&quot;,&quot;3/4&quot;]\n<strong>Explanation:</strong> &quot;2/4&quot; is not a simplified fraction because it can be simplified to &quot;1/2&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "最简分数",
"translatedContent": "<p>给你一个整数&nbsp;<code>n</code>&nbsp;,请你返回所有 0 到 1 之间(不包括 0 和 1满足分母小于等于&nbsp;&nbsp;<code>n</code>&nbsp;的 <strong>最简&nbsp;</strong>分数&nbsp;。分数可以以 <strong>任意&nbsp;</strong>顺序返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>n = 2\n<strong>输出:</strong>[&quot;1/2&quot;]\n<strong>解释:</strong>&quot;1/2&quot; 是唯一一个分母小于等于 2 的最简分数。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>n = 3\n<strong>输出:</strong>[&quot;1/2&quot;,&quot;1/3&quot;,&quot;2/3&quot;]\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>n = 4\n<strong>输出:</strong>[&quot;1/2&quot;,&quot;1/3&quot;,&quot;1/4&quot;,&quot;2/3&quot;,&quot;3/4&quot;]\n<strong>解释:</strong>&quot;2/4&quot; 不是最简分数,因为它可以化简为 &quot;1/2&quot; 。</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><strong>输入:</strong>n = 1\n<strong>输出:</strong>[]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 100</code></li>\n</ul>\n",
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"code": "class Solution {\npublic:\n vector<string> simplifiedFractions(int n) {\n\n }\n};",
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"A fraction is fully simplified if there is no integer that divides cleanly into the numerator and denominator.",
"In other words the greatest common divisor of the numerator and the denominator of a simplified fraction is 1."
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