mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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178 lines
19 KiB
JSON
178 lines
19 KiB
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"questionId": "1016",
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"categoryTitle": "Algorithms",
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"boundTopicId": 2824,
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"title": "Subarray Sums Divisible by K",
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"titleSlug": "subarray-sums-divisible-by-k",
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"content": "<p>Given an integer array <code>nums</code> and an integer <code>k</code>, return <em>the number of non-empty <strong>subarrays</strong> that have a sum divisible by </em><code>k</code>.</p>\n\n<p>A <strong>subarray</strong> is a <strong>contiguous</strong> part of an array.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [4,5,0,-2,-3,1], k = 5\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> There are 7 subarrays with a sum divisible by k = 5:\n[4, 5, 0, -2, -3, 1], [5], [5, 0], [5, 0, -2, -3], [0], [0, -2, -3], [-2, -3]\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5], k = 9\n<strong>Output:</strong> 0\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 3 * 10<sup>4</sup></code></li>\n\t<li><code>-10<sup>4</sup> <= nums[i] <= 10<sup>4</sup></code></li>\n\t<li><code>2 <= k <= 10<sup>4</sup></code></li>\n</ul>\n",
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"translatedTitle": "和可被 K 整除的子数组",
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"translatedContent": "<p>给定一个整数数组 <code>nums</code> 和一个整数 <code>k</code> ,返回其中元素之和可被 <code>k</code> 整除的(连续、非空) <strong>子数组</strong> 的数目。</p>\n\n<p><strong>子数组</strong> 是数组的 <strong>连续</strong> 部分。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [4,5,0,-2,-3,1], k = 5\n<strong>输出:</strong>7\n<strong>解释:\n</strong>有 7 个子数组满足其元素之和可被 k = 5 整除:\n[4, 5, 0, -2, -3, 1], [5], [5, 0], [5, 0, -2, -3], [0], [0, -2, -3], [-2, -3]\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [5], k = 9\n<strong>输出:</strong> 0\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 3 * 10<sup>4</sup></code></li>\n\t<li><code>-10<sup>4</sup> <= nums[i] <= 10<sup>4</sup></code></li>\n\t<li><code>2 <= k <= 10<sup>4</sup></code></li>\n</ul>\n",
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