#2470
Number of Subarrays With LCM Equal to K
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array · math · number theory
Description
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:
Input: nums = [3,6,2,7,1], k = 6
Output: 4
Explanation: The subarrays of nums where 6 is the least common multiple of all the subarray's elements are:
- [3,6,2,7,1]
- [3,6,2,7,1]
- [3,6,2,7,1]
- [3,6,2,7,1]
Example 2:
Input: nums = [3], k = 2
Output: 0
Explanation: There are no subarrays of nums where 2 is the least common multiple of all the subarray's elements.
Solution