leetcode-problemset/leetcode-cn/problem (English)/最小公倍数等于 K 的子数组数目(English) [number-of-subarrays-with-lcm-equal-to-k].html

<p>Given an integer array <code>nums</code> and an integer <code>k</code>, return <em>the number of <strong>subarrays</strong> of </em><code>nums</code><em> where the least common multiple of the subarray&#39;s elements is </em><code>k</code>.</p>

<p>A <strong>subarray</strong> is a contiguous non-empty sequence of elements within an array.</p>

<p>The <strong>least common multiple of an array</strong> is the smallest positive integer that is divisible by all the array elements.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> nums = [3,6,2,7,1], k = 6
<strong>Output:</strong> 4
<strong>Explanation:</strong> The subarrays of nums where 6 is the least common multiple of all the subarray&#39;s elements are:
- [<u><strong>3</strong></u>,<u><strong>6</strong></u>,2,7,1]
- [<u><strong>3</strong></u>,<u><strong>6</strong></u>,<u><strong>2</strong></u>,7,1]
- [3,<u><strong>6</strong></u>,2,7,1]
- [3,<u><strong>6</strong></u>,<u><strong>2</strong></u>,7,1]
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> nums = [3], k = 2
<strong>Output:</strong> 0
<strong>Explanation:</strong> There are no subarrays of nums where 2 is the least common multiple of all the subarray&#39;s elements.
</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], k &lt;= 1000</code></li>
</ul>