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leetcode-problemset/leetcode-cn/problem (English)/最大整除子集(English) [largest-divisible-subset].html

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<p>Given a set of <strong>distinct</strong> positive integers <code>nums</code>, return the largest subset <code>answer</code> such that every pair <code>(answer[i], answer[j])</code> of elements in this subset satisfies:</p>
<ul>
<li><code>answer[i] % answer[j] == 0</code>, or</li>
<li><code>answer[j] % answer[i] == 0</code></li>
</ul>
<p>If there are multiple solutions, return any of them.</p>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre>
<strong>Input:</strong> nums = [1,2,3]
<strong>Output:</strong> [1,2]
<strong>Explanation:</strong> [1,3] is also accepted.
</pre>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> nums = [1,2,4,8]
<strong>Output:</strong> [1,2,4,8]
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= nums.length &lt;= 1000</code></li>
<li><code>1 &lt;= nums[i] &lt;= 2 * 10<sup>9</sup></code></li>
<li>All the integers in <code>nums</code> are <strong>unique</strong>.</li>
</ul>