用c语言求字符串序列“ABCDBAB”和“BDCABA”的最长公共子序列

最长公共子序列是“BDAB”。以下是C语言代码实现：

#include <stdio.h>
#include <string.h>

#define MAX_LEN 100

int max(int a, int b) {
return a > b ? a : b;
}

int lcs(char* str1, char* str2, int len1, int len2) {
int dp[MAX_LEN][MAX_LEN];
int i, j;

for (i = 0; i <= len1; i++) {
for (j = 0; j <= len2; j++) {
if (i == 0 || j == 0) {
dp[i][j] = 0;
} else if (str1[i - 1] == str2[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[len1][len2];
}

int main() {
char str1[] = "ABCDBAB";
char str2[] = "BDCABA";
int len1 = strlen(str1);
int len2 = strlen(str2);

printf("最长公共子序列的长度为：%d\n", lcs(str1, str2, len1, len2));

return 0;
}