Minimum Product

You are given a array A of N positive integers, and you can perform the following operation on the array 1) Pick any two indices i and j in the array 2) Divide A[i] and A[j] by some common factor of A[i] and A[j] You can perform the above operation as many number of times as you want, and the aim is to minimize the product of the resulting array. Find this minimum product. Since the answer can