[Lintcode]Longest Common Substring最长公共子串

Given two strings, find the longest common substring.

Return the length of it.

分析:算法与最长公共子序列大致相似。二维DP。区别是,字符不同时,res[i][j] = 0;并另一个额外的int记录最大长度。


public class Solution {
    /**
     * @param A, B: Two string.
     * @return: the length of the longest common substring.
     */
    public int longestCommonSubstring(String A, String B) {
        if(A.length() == 0 || B.length() == 0) return 0;

        int[][] res = new int[A.length()][B.length()];
        res[0][0] = A.charAt(0) == B.charAt(0) ? 1 : 0;
        int max = res[0][0];

        for(int i = 1; i < A.length(); i++) {
            res[i][0] = A.charAt(i) == B.charAt(0) ? 1 : 0;
            max = Math.max(max, res[i][0]);
        }
        for(int j = 1; j < B.length(); j++) {
            res[0][j] = B.charAt(j) == A.charAt(0) ? 1 : 0;
            max = Math.max(max, res[0][j]);
        }
        for(int i = 1; i < A.length(); i++) {
            for(int j = 1; j < B.length(); j++) {
                if(A.charAt(i) == B.charAt(j)) {
                    res[i][j] = res[i - 1][j - 1] + 1;
                    max = Math.max(max, res[i][j]);
                } else {
                    res[i][j] = 0;
                }
            }
        }
        return max;
    }
}


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