453. Minimum Moves to Equal Array Elements

it2022-05-08  9

 

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]

思路参考这里:

正确的解法相当的巧妙,需要换一个角度来看问题,其实给n-1个数字加1,效果等同于给那个未被选中的数字减1,比如数组[1,2,3], 给除去最大值的其他数字加1,变为[2,3,3],我们全体减1,并不影响数字间相对差异,变为[1,2,2],这个结果其实就是原始数组的最大值3自减1,那么问题也可能转化为,将所有数字都减小到最小值

class Solution { public: int minMoves(vector<int>& nums) { int minn=INT_MAX,i,ans=0; for(i=0;i<nums.size();i++){ minn=min(nums[i],minn); } for(i=0;i<nums.size();i++){ ans=ans+nums[i]-minn; } return ans; } };

 


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