poj 3080 Blue Jeans（KMP+字典序输出）

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1、http://poj.org/problem?id=3080

2、题目大意：

给定多组样例，每组样例有n个长度为60的字符串，求这n个字符串中长度最长的公共子串，如果有多个这样的子串，按照字典序输出

3、用KMP算法解决

思路：

从第一个主串开始查找其中的每一个子串是不是在其他子串中可以找到，如果能找到，看长度大小，如果跟最大的相同，则找字典序小的那个，

4.题目：

Blue Jeans

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 9376		Accepted: 3941

Description

The Genographic Project is a research partnership between IBM and The National Geographic Society that is analyzing DNA from hundreds of thousands of contributors to map how the Earth was populated.

As an IBM researcher, you have been tasked with writing a program that will find commonalities amongst given snippets of DNA that can be correlated with individual survey information to identify new genetic markers.

A DNA base sequence is noted by listing the nitrogen bases in the order in which they are found in the molecule. There are four bases: adenine (A), thymine (T), guanine (G), and cytosine (C). A 6-base DNA sequence could be represented as TAGACC.

Given a set of DNA base sequences, determine the longest series of bases that occurs in all of the sequences.

Input

Input to this problem will begin with a line containing a single integer n indicating the number of datasets. Each dataset consists of the following components:

A single positive integer m (2 <= m <= 10) indicating the number of base sequences in this dataset.
m lines each containing a single base sequence consisting of 60 bases.

Output

For each dataset in the input, output the longest base subsequence common to all of the given base sequences. If the longest common subsequence is less than three bases in length, display the string "no significant commonalities" instead. If multiple subsequences of the same longest length exist, output only the subsequence that comes first in alphabetical order.

Sample Input

3
2
GATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
3
GATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATA
GATACTAGATACTAGATACTAGATACTAAAGGAAAGGGAAAAGGGGAAAAAGGGGGAAAA
GATACCAGATACCAGATACCAGATACCAAAGGAAAGGGAAAAGGGGAAAAAGGGGGAAAA
3
CATCATCATCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
ACATCATCATAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AACATCATCATTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Sample Output

no significant commonalities
AGATAC
CATCATCAT

Source

South Central USA 2006

4、代码;

#include<stdio.h>
#include<string.h>
char str[12][65];
char s[65];
char ans[65];
int f[65];
//求子模板串的模式值f[n]的函数
//f[i]表示以i为下标的字符前边有几个跟开头重复的字符
void getFail(char *p, int *f)
{int m=strlen(p);f[0]=f[1]=0;for(int i=1; i<m; ++i){int j=f[i];while(j && p[i]!=p[j])j=f[j];f[i+1] = p[i]==p[j]?1+j:0;}
}
//查找是否匹配函数
bool find(char *T,char *p,int *f)//传入的三个参数分别是主字符串，要比较的子模板串，子模板串的模式值数组
{getFail(p,f);int n=strlen(T);int m=strlen(p);int j=0;for(int i=0; i<n; ++i)//循环主串中的字符{//如果出现字符不匹配，没必要从头循环，只需要从模式值f[j]查找while(j && T[i]!=p[j])j=f[j];if(T[i]==p[j])++j;if(j==m)//当j==m时，表示找到匹配的字符串{return true;}}return false;
}
int main()
{int t,n;scanf("%d",&t);while(t--){scanf("%d",&n);for(int i=0; i<n; i++){scanf("%s",str[i]);}int nmax=3;//循环主串bool first=false;for(int i=0; i<n; i++){for(int j=0; j<60-3; j++) //循环模板串的起始点{memset(s,0,sizeof(s));for(int p=0,k=j; k<60; k++){s[p++]=str[i][k];if(p>=nmax){bool flag=false;for(int l=0; l<n; l++){if(l!=i){if(!find(str[l],s,f))//不能找到该模板串{flag=true;}}}if(flag)//在其他主串中不能找到该模板串{break;//break出去以当前元素为起始点的，短的找不到，长的也找不到}else{if(p==nmax)//如果相同，字典序输出{if(first==false){strcpy(ans,s);first=true;}if(strcmp(ans,s)>0&&first==true)strcpy(ans,s);}else if(p>nmax){strcpy(ans,s);nmax=p;}}}}}}if(first==false)printf("no significant commonalities\n");elseprintf("%s\n",ans);}return 0;
}

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