#include <stdio.h>
#include <string.h>
#define MAX_LEN 100
int max(int a, int b) {
return (a > b) ? a : b;
}
int lcs(char *X, char *Y, int m, int n) {
int dp[m + 1][n + 1];
for (int i = 0; i <= m; i++) {
for (int j = 0; j <= n; j++) {
if (i == 0 || j == 0)
dp[i][j] = 0;
else if (X[i - 1] == Y[j - 1])
dp[i][j] = dp[i - 1][j - 1] + 1;
else
dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
}
}
return dp[m][n];
}
int main() {
char X[MAX_LEN], Y[MAX_LEN];
printf("A串: ");
scanf("%s", X);
printf("B串: ");
scanf("%s", Y);
int m = strlen(X);
int n = strlen(Y);
int length = lcs(X, Y, m, n);
printf("最长公共子序列: %d\n", length);
return 0;
}