minimum-moves-to-equal-array-elements.py

# Time:  O(n)
# Space: O(1)

# 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]

class Solution(object):
    def minMoves(self, nums):
        """
        :type nums: List[int]
        :rtype: int
        """
        return sum(nums) - len(nums) * min(nums)