uvaoj455Periodic Strings(枚举)
A character string is said to have period k if it can be formed by concatenating one or more repetitions
of another string of length k. For example, the string ”abcabcabcabc” has period 3, since it is formed
by 4 repetitions of the string ”abc”. It also has periods 6 (two repetitions of ”abcabc”) and 12 (one
repetition of ”abcabcabcabc”).
Write a program to read a character string and determine its smallest period.
Input
The first line oif the input file will contain a single integer N indicating how many test case that your
program will test followed by a blank line. Each test case will contain a single character string of up
to 80 non-blank characters. Two consecutive input will separated by a blank line.
Output
An integer denoting the smallest period of the input string for each input. Two consecutive output are
separated by a blank line.
Sample Input
1
HoHoHo
Sample Output
2
题意:给出一个字符串,求出最短周期串的长度,每输出一个长度就隔一行再输入。
题解:枚举
1 #include<bits/stdc++.h> 2 using namespace std; 3 char s[100]; 4 int main() { 5 int n; 6 scanf("%d",&n); 7 while(n--) { 8 memset(s,'\0',sizeof(s)); 9 scanf("%s",s); 10 int len=strlen(s); 11 //printf("%d\n",len); 12 for(int i=1;i<=len;i++)//假设从0到i为止是周期串 13 { 14 if(len%i==0)//首先判断到当前i为止还能不能组成周期串 15 { 16 int j; 17 for(j=i;j<len;j++) 18 { 19 if(s[j%i]!=s[j])break; //和最前面的周期串比较 ,如果有不相等的,就不是周期串 20 } 21 if(j==len)//j到len有两种可能,没有周期串,i到len了,另一种就是找到了周期串 22 {//并且j到len了 23 printf("%d\n",i);break; 24 } 25 } 26 } 27 if(n)printf("\n"); 28 } 29 return 0; 30 }