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"question": {
"questionId": "1408",
"questionFrontendId": "1283",
"categoryTitle": "Algorithms",
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"title": "Find the Smallest Divisor Given a Threshold",
"titleSlug": "find-the-smallest-divisor-given-a-threshold",
"content": "<p>Given an array of integers <code>nums</code> and an integer <code>threshold</code>, we will choose a positive integer <code>divisor</code>, divide all the array by it, and sum the division&#39;s result. Find the <strong>smallest</strong> <code>divisor</code> such that the result mentioned above is less than or equal to <code>threshold</code>.</p>\n\n<p>Each result of the division is rounded to the nearest integer greater than or equal to that element. (For example: <code>7/3 = 3</code> and <code>10/2 = 5</code>).</p>\n\n<p>The test cases are generated so&nbsp;that there will be an answer.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,5,9], threshold = 6\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> We can get a sum to 17 (1+2+5+9) if the divisor is 1. \nIf the divisor is 4 we can get a sum of 7 (1+1+2+3) and if the divisor is 5 the sum will be 5 (1+1+1+2). \n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [44,22,33,11,1], threshold = 5\n<strong>Output:</strong> 44\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>6</sup></code></li>\n\t<li><code>nums.length &lt;= threshold &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "使结果不超过阈值的最小除数",
"translatedContent": "<p>给你一个整数数组&nbsp;<code>nums</code> 和一个正整数&nbsp;<code>threshold</code> &nbsp;,你需要选择一个正整数作为除数,然后将数组里每个数都除以它,并对除法结果求和。</p>\n\n<p>请你找出能够使上述结果小于等于阈值&nbsp;<code>threshold</code>&nbsp;的除数中 <strong>最小</strong> 的那个。</p>\n\n<p>每个数除以除数后都向上取整,比方说 7/3 = 3 10/2 = 5 。</p>\n\n<p>题目保证一定有解。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,2,5,9], threshold = 6\n<strong>输出:</strong>5\n<strong>解释:</strong>如果除数为 1 ,我们可以得到和为 17 1+2+5+9。\n如果除数为 4 ,我们可以得到和为 7 (1+1+2+3) 。如果除数为 5 ,和为 5 (1+1+1+2)。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [2,3,5,7,11], threshold = 11\n<strong>输出:</strong>3\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [19], threshold = 5\n<strong>输出:</strong>4\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 5 * 10^4</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10^6</code></li>\n\t<li><code>nums.length &lt;=&nbsp;threshold &lt;= 10^6</code></li>\n</ul>\n",
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