题目描述 难点主要是考虑整数拆成两个数之后不继续拆分的情况

class Solution:
    def integerBreak(self, n: int) -> int:
        dp = [0]*(n+1)
        dp[2] = 1
        for i in range(3,n+1):
            for j in range(1,i-1):
                dp[i] = max(dp[i],max(j*(i-j),j*dp[i-j]))
        return dp[n]

运行结果：