leetcode-problemset/leetcode-cn/problem (English)/优质数对的总数 I(English) [find-the-number-of-good-pairs-i].html

<p>You are given 2 integer arrays <code>nums1</code> and <code>nums2</code> of lengths <code>n</code> and <code>m</code> respectively. You are also given a <strong>positive</strong> integer <code>k</code>.</p>

<p>A pair <code>(i, j)</code> is called <strong>good</strong> if <code>nums1[i]</code> is divisible by <code>nums2[j] * k</code> (<code>0 &lt;= i &lt;= n - 1</code>, <code>0 &lt;= j &lt;= m - 1</code>).</p>

<p>Return the total number of <strong>good</strong> pairs.</p>

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

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums1 = [1,3,4], nums2 = [1,3,4], k = 1</span></p>

<p><strong>Output:</strong> <span class="example-io">5</span></p>

<p><strong>Explanation:</strong></p>
The 5 good pairs are <code>(0, 0)</code>, <code>(1, 0)</code>, <code>(1, 1)</code>, <code>(2, 0)</code>, and <code>(2, 2)</code>.</div>

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

<div class="example-block">
<p><strong>Input:</strong> <span class="example-io">nums1 = [1,2,4,12], nums2 = [2,4], k = 3</span></p>

<p><strong>Output:</strong> <span class="example-io">2</span></p>

<p><strong>Explanation:</strong></p>

<p>The 2 good pairs are <code>(3, 0)</code> and <code>(3, 1)</code>.</p>
</div>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= n, m &lt;= 50</code></li>
	<li><code>1 &lt;= nums1[i], nums2[j] &lt;= 50</code></li>
	<li><code>1 &lt;= k &lt;= 50</code></li>
</ul>