package dynamic; public class LCS { public static void main(String[] args) { String str1 = "ABCBDAB"; String str2 = "BDCABA"; System.out.println(LCS(str1.toCharArray(),str2.toCharArray())); } public static int LCS(char[] m,char[] n) { int[][] ret = new int[m.length+1][n.length+1]; for(int i=0;i<ret.length;i++) { for(int j=0;j<ret[i].length;j++) { if(i==0 || j==0) { ret[i][j] = 0; }else { if(m[i-1] == n[j-1]) { ret[i][j] = ret[i-1][j-1]+1; }else { ret[i][j] = Math.max(ret[i][j-1], ret[i-1][j]); } } } } StringBuffer sb = new StringBuffer(); subsque(m,n,ret,m.length,n.length,sb);//输出最长公共子序列 return ret[m.length][n.length];//返回最长公共子序列的长度 } public static void subsque(char[] m,char[] n,int[][] ret,int p,int q,StringBuffer sb) { StringBuffer sb1 = new StringBuffer(); for(int i=p,j=q ; i!=0&&j!=0 ; ) { if(m[i-1] == n[j-1]) { sb.append(m[i-1]); i--; j--; }else { if(ret[i-1][j] == ret[i][j]) { sb1 = new StringBuffer(sb); subsque(m,n,ret,--i,j,sb); sb=sb1; i++; } if(ret[i][j-1] == ret[i][j]) { sb1 = new StringBuffer(sb); subsque(m,n,ret,i,--j,sb); sb=sb1; j++; } return; } } System.out.println(sb.reverse()); } }