You are given an array of positive integers nums.
An array arr is called product equivalent if prod(arr) == lcm(arr) * gcd(arr), where:
prod(arr)is the product of all elements ofarr.gcd(arr)is the GCD of all elements ofarr.lcm(arr)is the LCM of all elements ofarr.
Return the length of the longest product equivalent subarray of nums.
Example 1:
Input: nums = [1,2,1,2,1,1,1]
Output: 5
Explanation:
The longest product equivalent subarray is [1, 2, 1, 1, 1], where prod([1, 2, 1, 1, 1]) = 2, gcd([1, 2, 1, 1, 1]) = 1, and lcm([1, 2, 1, 1, 1]) = 2.
Example 2:
Input: nums = [2,3,4,5,6]
Output: 3
Explanation:
The longest product equivalent subarray is [3, 4, 5].
Example 3:
Input: nums = [1,2,3,1,4,5,1]
Output: 5
Constraints:
2 <= nums.length <= 1001 <= nums[i] <= 10