/*这道题是很明显的dp题,状态方程有点不大好想,也许是我刚刚接触dp的缘故吧。dp[i][j]表示字符串s1取前i个字符s2取前j个字符时最大公共子序列的大小,这样的如果s1[i]==s2[j],dp[i][j]=d[i-1][j-1]+1;
如果s1[1]!=s2[j],dp[i][j]=max{dp[i-1][j],dp[i][j-1]};*/
#include"iostream" #include"stdio.h" #include"algorithm" #include"string.h" #include"ctype.h" #include"cmath" #include"queue" #define mx 1005 #define inf 32767 #define max(a,b) a>b?a:b using namespace std; int dp[mx][mx]; char s1[mx],s2[mx]; int main() { while(scanf("%s%s",s1+,s2+)!=EOF) { int len1=strlen(s1+); int len2=strlen(s2+); int i,j; memset(dp,,sizeof(dp)); for(i=;i<=len1;i++) { for(j=;j<=len2;j++) { if(s1[i]==s2[j]) { dp[i][j]=dp[i-][j-]+; } else dp[i][j]=max(dp[i][j-],dp[i-][j]); } } cout<<dp[len1][len2]<<endl; } return ; }