628. Maximum Product of Three Numbers--找最大乘积

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Given an integer array, find three numbers whose product is maximum and output the maximum product.

Example 1:

Input: [1,2,3]Output: 6

Example 2:

Input: [1,2,3,4]Output: 24

Note:

  1. The length of the given array will be in range [3,104] and all elements are in the range [-1000, 1000].
  2. Multiplication of any three numbers in the input won't exceed the range of 32-bit signed integer.

在数组里找三个数,使乘积最大即可。想到的方法是先排序,然后按照正数有1个还是其他多个去找最大值,最大值出现的组合可能是:前2个数字和最后一个数字,最后三个数字,代码有点冗长:

Arrays.sort(nums);int len = nums.length;for(int j=0;j<len;j++){System.out.println(nums[j]);}int count=0;int i=len-1;int res = Integer.MIN_VALUE;while(i>=0){if(nums[i]>0){count++;}if(nums[i]<=0) {break;}i--;}if(count!=1){res = Math.max(res,nums[len-1]*nums[len-2]*nums[len-3]);res = Math.max(res, nums[len-1]*nums[0]*nums[1]);}if(count==1){res = Math.max(res,nums[len-1]*nums[0]*nums[1]);}return res;


结果,其实这样就行了==:

int len = nums.length;Arrays.sort(nums);int a = nums[0]*nums[1]*nums[len-1];int b = nums[len-2]*nums[len-3]*nums[len-1];return Math.max(a, b);



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