最长重复子数组 中等🌟🌟🌟🌟🌟

问题描述

原文链接:718. 最长重复子数组

给两个整数数组 nums1nums2 ,返回 两个数组中公共的 、长度最长的子数组的长度

示例 1:

输入:nums1 = [1,2,3,2,1], nums2 = [3,2,1,4,7]
输出:3
解释:长度最长的公共子数组是 [3,2,1] 。

示例 2:

输入:nums1 = [0,0,0,0,0], nums2 = [0,0,0,0,0]
输出:5

提示:

  • 1 <= nums1.length, nums2.length <= 1000
  • 0 <= nums1[i], nums2[i] <= 100

代码实现

Java

class Solution {
    public int findLength(int[] nums1, int[] nums2) {
        int n1 = nums1.length;
        int n2 = nums2.length;

        int[][] dp = new int[n1+1][n2+1];
        int max = 0;

        for(int i = 1; i <= n1; i++){
            for(int j = 1; j <= n2; j++){
                if(nums1[i-1] == nums2[j-1]){
                    dp[i][j] = dp[i-1][j-1] + 1;
                }

                max = Math.max(max, dp[i][j]);
            }
        }

        return max;
    }
}

Python

class Solution:
    def findLength(self, nums1: List[int], nums2: List[int]) -> int:
        n1 = len(nums1)
        n2 = len(nums2)

        dp = [[0] * (n2 + 1) for _ in range(n1 + 1)]
        max_len = 0

        for i in range(1, n1 + 1):
            for j in range(1, n2 + 1):
                if nums1[i-1] == nums2[j-1]:
                    dp[i][j] = dp[i-1][j-1] + 1

                max_len = max(max_len, dp[i][j])

        return max_len

C++

int findLength(vector<int>& nums1, vector<int>& nums2) {
        int n1 = nums1.size();
        int n2 = nums2.size();

        vector<vector<int>> dp(n1 + 1, vector<int>(n2 + 1, 0));
        int max_len = 0;

        for(int i = 1; i <= n1; i++){
            for(int j = 1; j <= n2; j++){
                if(nums1[i-1] == nums2[j-1]){
                    dp[i][j] = dp[i-1][j-1] + 1;
                }

                max_len = max(max_len, dp[i][j]);
            }
        }

        return max_len;
    }

Go

func findLength(nums1 []int, nums2 []int) int {
    n1 := len(nums1)
    n2 := len(nums2)

    dp := make([][]int, n1+1)
    for i := 0; i <= n1; i++ {
        dp[i] = make([]int, n2+1)
    }

    maxLen := 0

    for i := 1; i <= n1; i++ {
        for j := 1; j <= n2; j++ {
            if nums1[i-1] == nums2[j-1] {
                dp[i][j] = dp[i-1][j-1] + 1
            }

            if dp[i][j] > maxLen {
                maxLen = dp[i][j]
            }
        }
    }

    return maxLen
}

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