leetcode-problemset/leetcode-cn/originData/minimum-operations-to-make-array-sum-divisible-by-k.json

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            "categoryTitle": "Algorithms",
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            "title": "Minimum Operations to Make Array Sum Divisible by K",
            "titleSlug": "minimum-operations-to-make-array-sum-divisible-by-k",
            "content": "<p>You are given an integer array <code>nums</code> and an integer <code>k</code>. You can perform the following operation any number of times:</p>\n\n<ul>\n\t<li>Select an index <code>i</code> and replace <code>nums[i]</code> with <code>nums[i] - 1</code>.</li>\n</ul>\n\n<p>Return the <strong>minimum</strong> number of operations required to make the sum of the array divisible by <code>k</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,9,7], k = 5</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Perform 4 operations on <code>nums[1] = 9</code>. Now, <code>nums = [3, 5, 7]</code>.</li>\n\t<li>The sum is 15, which is divisible by 5.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [4,1,3], k = 4</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>The sum is 8, which is already divisible by 4. Hence, no operations are needed.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,2], k = 6</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Perform 3 operations on <code>nums[0] = 3</code> and 2 operations on <code>nums[1] = 2</code>. Now, <code>nums = [0, 0]</code>.</li>\n\t<li>The sum is 0, which is divisible by 6.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "使数组和能被 K 整除的最少操作次数",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> 和一个整数 <code>k</code>。你可以执行以下操作任意次：</p>\n\n<ul>\n\t<li>选择一个下标&nbsp;<code>i</code>，并将 <code>nums[i]</code> 替换为 <code>nums[i] - 1</code>。</li>\n</ul>\n\n<p>返回使数组元素之和能被 <code>k</code> 整除所需的<strong>最小</strong>操作次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [3,9,7], k = 5</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li>对 <code>nums[1] = 9</code> 执行 4 次操作。现在 <code>nums = [3, 5, 7]</code>。</li>\n\t<li>数组之和为 15，可以被 5 整除。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [4,1,3], k = 4</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li>数组之和为 8，已经可以被 4 整除。因此不需要操作。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">nums = [3,2], k = 6</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li>对 <code>nums[0] = 3</code> 执行 3 次操作，对 <code>nums[1] = 2</code> 执行 2 次操作。现在 <code>nums = [0, 0]</code>。</li>\n\t<li>数组之和为 0，可以被 6 整除。</li>\n</ul>\n</div>\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;= 1000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= 100</code></li>\n</ul>\n",
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