相等且是首字母的时候最长子串为1,其他情况为+1
/**
* longest common substring
* @param str1 string字符串 the string
* @param str2 string字符串 the string
* @return string字符串
*
* C语言声明定义全局变量请加上static,防止重复定义
*/
char* LCS(char* str1, char* str2) {
int l1 = strlen(str1);
int l2 = strlen(str2);
if (l1 == 0 || l2 == 0) {
return NULL;
}
int len = 0;
int end = 0;
/*int** dp = (int**)malloc(sizeof(int) * l1);
for (int i = 0; i < l1; i++) {
dp[i] = (int*)malloc(sizeof(int) * l2);
}*/
int(*dp)[l2] = (int(*)[l2])malloc(sizeof(int) * l1 * l2);
for (int i = 0; i < l1; i++) {
for (int j = 0; j < l2; j++) {
if (str1[i] == str2[j]) {
if (i > 0 && j > 0) {
dp[i][j] = dp[i - 1][j - 1] + 1;
}
else {
dp[i][j] = 1;
}
if (dp[i][j] > len) {
len = dp[i][j];
end = i;
}
}
else {
dp[i][j] = 0;
}
}
}
str1[end + 1] = '\0';
return str1 + end - len + 1;
}