找两个字符串的最长公共子串,这个子串要求在原字符串中是连续的。而最长公共子序列则并不要求连续。
代码如下:
package string; import java.util.ArrayList; import java.util.List; /** * 字符串的最长公共子串问题 * @author Administrator * */ public class LCString { /** * 求最长公共子串长度 * @param s1 * @param s2 * @return */ public int getMaxLen(String s1, String s2){ if(s1 == null || s2 == null){ return 0; } int m = s1.length(); int n = s2.length(); // a[i][j]表示以s1中以i-1结尾,s2中以j-1结尾的最长公共子串长度 int[][] a = new int[m+1][n+1]; int maxLen = 0; for(int i = 1; i <= m; i++){ for(int j = 1; j <= n; j++){ if(s1.charAt(i-1) == s2.charAt(j-1)){ a[i][j] = a[i-1][j-1]+1; }else{ a[i][j] = 0; } maxLen = Math.max(maxLen, a[i][j]); } } return maxLen; } /** * 求最长公共子串 * @param s1 * @param s2 * @return */ public List<String> getMaxSubString(String s1, String s2){ List<String> res = new ArrayList<String>(); if(s1 == null || s2 == null){ return res; } int m = s1.length(); int n = s2.length(); int maxLen = 0; // a[i][j]表示以s1中以i-1结尾,s2中以j-1结尾的最长公共子串的长度 int[][] a = new int[m+1][n+1]; for(int i = 1; i <= m; i++){ for(int j = 1; j <= n; j++){ a[i][j] = s1.charAt(i-1) == s2.charAt(j-1) ? a[i-1][j-1]+1 : 0; if(a[i][j] == maxLen){ String s = s1.substring(i-a[i][j], i); if(!res.contains(s)){ res.add(s); } } else if(a[i][j] > maxLen){ res = new ArrayList<String>(); res.add(s1.substring(i-a[i][j], i)); maxLen = a[i][j]; } } } return res; } public static void main(String[] args) { LCString m = new LCString(); // String s1 = "bab"; // String s2 = "caba"; String s1 = "123456abcd567"; String s2 = "234dddabc45678"; System.out.println(m.getMaxLen(s1, s2)); System.out.println(m.getMaxSubString(s1, s2)); } }