杭电acm 1159Common Subsequence（字符串处理+dp）

Common Subsequence

Time Limit : 2000/1000ms (Java/Other)   Memory Limit : 65536/32768K (Java/Other)

Total Submission(s) : 3   Accepted Submission(s) : 1

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Problem Description

A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence X = another sequence Z = is a subsequence of X if there exists a strictly increasing sequence of indices of X such that for all j = 1,2,...,k, xij = zj. For example, Z = is a subsequence of X = with index sequence <1, 2, 4, 6>. Given two sequences X and Y the problem is to find the length of the maximum-length common subsequence of X and Y. 
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. For each set of data the program prints on the standard output the length of the maximum-length common subsequence from the beginning of a separate line. 

Sample Input

abcfbc abfcab
programming contest 
abcd mnp

Sample Output

4
2
0

Source

Southeastern Europe 2003

想法：简单题

注意细节

代码：

#include
#include
char s[1100];
char s1[1100];
int dir[1100][1100];
int max(int a,int b)
{
    return a>b?a:b;
}
int main()
{
    while(scanf("%s %s",s,s1)!=EOF)
    {
        memset(dir,0,sizeof(dir));
       int len=strlen(s);
       int len1=strlen(s1);
        int i,j;
        for(i=1;i<=len;i++)
        {
            for(j=1;j<=len1;j++)
            {
               if(s[i-1]==s1[j-1])
                dir[i][j]=dir[i-1][j-1]+1;
                else
                dir[i][j]=max(dir[i-1][j],dir[i][j-1]);
            }
        }
        printf("%d\n",dir[len][len1]);
    }
  return 0;
}