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leetcode-problemset/leetcode-cn/problem (English)/缺失的最小倍数(English) [smallest-missing-multiple-of-k].html
2025-10-19 23:12:56 +08:00

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<p>Given an integer array <code>nums</code> and an integer <code>k</code>, return the <strong>smallest positive multiple</strong> of <code>k</code> that is <strong>missing</strong> from <code>nums</code>.</p>
<p>A <strong>multiple</strong> of <code>k</code> is any positive integer divisible by <code>k</code>.</p>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [8,2,3,4,6], k = 2</span></p>
<p><strong>Output:</strong> <span class="example-io">10</span></p>
<p><strong>Explanation:</strong></p>
<p>The multiples of <code>k = 2</code> are 2, 4, 6, 8, 10, 12... and the smallest multiple missing from <code>nums</code> is 10.</p>
</div>
<p><strong class="example">Example 2:</strong></p>
<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums = [1,4,7,10,15], k = 5</span></p>
<p><strong>Output:</strong> <span class="example-io">5</span></p>
<p><strong>Explanation:</strong></p>
<p>The multiples of <code>k = 5</code> are 5, 10, 15, 20... and the smallest multiple missing from <code>nums</code> is 5.</p>
</div>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= nums.length &lt;= 100</code></li>
<li><code>1 &lt;= nums[i] &lt;= 100</code></li>
<li><code>1 &lt;= k &lt;= 100</code></li>
</ul>