leetcode-problemset/leetcode-cn/originData/nth-magical-number.json

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            "questionId": "910",
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            "categoryTitle": "Algorithms",
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            "title": "Nth Magical Number",
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            "content": "<p>A positive integer is <em>magical</em> if it is divisible by either <code>a</code> or <code>b</code>.</p>\n\n<p>Given the three integers <code>n</code>, <code>a</code>, and <code>b</code>, return the <code>n<sup>th</sup></code> magical number. Since the answer may be very large, <strong>return it modulo </strong><code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1, a = 2, b = 3\n<strong>Output:</strong> 2\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, a = 2, b = 3\n<strong>Output:</strong> 6\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n\t<li><code>2 &lt;= a, b &lt;= 4 * 10<sup>4</sup></code></li>\n</ul>\n",
            "translatedTitle": "第 N 个神奇数字",
            "translatedContent": "<p>一个正整数如果能被 <code>a</code> 或 <code>b</code> 整除，那么它是神奇的。</p>\n\n<p>给定三个整数 <code>n</code> ,&nbsp;<code>a</code> , <code>b</code> ，返回第 <code>n</code> 个神奇的数字。因为答案可能很大，所以返回答案&nbsp;<strong>对&nbsp;</strong><code>10<sup>9</sup>&nbsp;+ 7</code> <strong>取模&nbsp;</strong>后的值。</p>\n\n<p>&nbsp;</p>\n\n<ol>\n</ol>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1, a = 2, b = 3\n<strong>输出：</strong>2\n</pre>\n\n<p><strong>示例&nbsp;2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 4, a = 2, b = 3\n<strong>输出：</strong>6\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;= 10<sup>9</sup></code></li>\n\t<li><code>2 &lt;= a, b &lt;= 4 * 10<sup>4</sup></code></li>\n</ul>\n\n<p>&nbsp;</p>\n",
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