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Number of Subarrays With GCD Equal to K

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

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

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

The greatest common divisor of an array is the largest integer that evenly divides all the array elements.

Number of Subarrays With GCD Equal to K diagram

Example 1

Input: nums = [9,3,1,2,6,3], k = 3

Output: 4

Explanation: The subarrays of nums where 3 is the greatest common divisor of all the subarray's elements are: - [9,3,1,2,6,3] - [9,3,1,2,6,3] - [9,3,1,2,6,3] - [9,3,1,2,6,3]

Example 2

Input: nums = [4], k = 7

Output: 0

Explanation: There are no subarrays of nums where 7 is the greatest common divisor of all the subarray's elements.

Constraints

  • 1 <= nums.length <= 1000
  • 1 <= nums[i], k <= 10^9

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