343. Integer Break

Given a positive integer n, break it into the sum of at least two positive integers and maximize the product of those integers. Return the maximum product you can get.

Example 1:

Input: 2
Output: 1
Explanation: 2 = 1 + 1, 1 × 1 = 1.

Example 2:

Input: 10
Output: 36
Explanation: 10 = 3 + 3 + 4, 3 × 3 × 4 = 36.

Note: You may assume that n is not less than 2 and not larger than 58.

class Solution {
    public int integerBreak(int n) {
           int[] dp = new int[n + 1];
           dp[1] = 1;
           for(int i = 2; i <= n; i ++) {
               for(int j = 1; j*2 <= i; j ++) {
                   dp[i] = Math.max(dp[i], (Math.max(j,dp[j])) * (Math.max(i - j, dp[i - j])));
               }
           }
           return dp[n];
        }
}

https://blog.csdn.net/qq_38277085/article/details/80808294

原文地址:https://www.cnblogs.com/wentiliangkaihua/p/11875546.html