Leetcode: Minimum Moves to Equal Array Elements

Given a non-empty integer array of size n, find the minimum number of moves required to make all array elements equal, where a move is incrementing n - 1 elements by 1.

Example:

Input:
[1,2,3]

Output:
3

Explanation:
Only three moves are needed (remember each move increments two elements):

[1,2,3]  =>  [2,3,3]  =>  [3,4,3]  =>  [4,4,4]

idea 1: suppose it takes y steps to equal each elements, then this equation stands:

(min + y) * num.length == sum + (num.length-1)*y, 　　where min + y is each element's value when all elements equal

idea 2: Add 1 to n - 1 elements is the same as subtracting 1 from one element, w.r.t goal of making the elements in the array equal.
So, best way to do this is make all the elements in the array equal to the min element.
sum(array) - n * minimum

public class Solution {
    public int minMoves(int[] nums) {
        if (nums==null || nums.length==0) return 0;
        int min = Integer.MAX_VALUE;
        int sum = 0;
        for (int num : nums) {
            min = Math.min(min, num);
            sum += num;
        }
        return sum - min * nums.length;
    }
}