动态规划最长上升子序列

Posted 2021-02-19 yang520ming

给定一个无序的整数数组，找到其中最长上升子序列的长度

解题思路参考https://blog.csdn.net/lw_power/article/details/80758674

输入: 

[10,9,2,5,3,7,101,18]
输出: 4 
解释: 最长的上升子序列是 [2,3,7,101]，它的长度是 4

class Solution(object):
    def lengthOfLIS(self, nums):
        """
        :type nums: List[int]
        :rtype: int
        """
        a=[1]*len(nums)
        if len(nums)==0:
            return 0
        for i in range(1,len(nums)):
            for j in range(0,i):
                if(nums[i]>nums[j]):
                    a[i]=max(a[i],a[j]+1)
        return max(a)