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35 lines
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35 lines
1.4 KiB
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 greatest common divisor of the subarray's elements is </em><code>k</code>.</p>
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<p>A <strong>subarray</strong> is a contiguous non-empty sequence of elements within an array.</p>
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<p>The <strong>greatest common divisor of an array</strong> is the largest integer that evenly divides all the array elements.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [9,3,1,2,6,3], k = 3
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<strong>Output:</strong> 4
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<strong>Explanation:</strong> The subarrays of nums where 3 is the greatest common divisor of all the subarray's elements are:
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- [9,<u><strong>3</strong></u>,1,2,6,3]
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- [9,3,1,2,6,<u><strong>3</strong></u>]
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- [<u><strong>9,3</strong></u>,1,2,6,3]
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- [9,3,1,2,<u><strong>6,3</strong></u>]
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [4], k = 7
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<strong>Output:</strong> 0
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<strong>Explanation:</strong> There are no subarrays of nums where 7 is the greatest common divisor of all the subarray's elements.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= nums.length <= 1000</code></li>
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<li><code>1 <= nums[i], k <= 10<sup>9</sup></code></li>
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</ul>
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