Number of Subarrays With LCM Equal to K

Given an integer array nums and an integer k, return the number of subarrays of nums where the least common multiple of the subarray's elements is k.

A subarray is a contiguous non-empty sequence of elements within an array.

The least common multiple of an array is the smallest positive integer that is divisible by all the array elements.

Example 1
Inputnums = [3,6,2,7,1], k = 6
Output4
The subarrays whose least common multiple is 6 are [3,6], [3,6,2], [6], and [6,2].
Example 2
Inputnums = [3], k = 2
Output0
There are no subarrays of nums where 2 is the least common multiple of all the subarray's elements.

Constraints

  • 1 <= nums.length <= 1000
  • 1 <= nums[i], k <= 1000

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