算法竞赛入门经典 第三章 uVA455 - Periodic Strings

Periodic Strings

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

#include<cstdio>
#include<iostream>
#include<cstring>
using namespace std;
int main()
{
int n;
while (scanf("%d", &n) != EOF)
{
char str[1000];
for (int i = 0; i < n; i++)
{
scanf("%s", str);
int len = strlen(str);
for (int j = 1, k; j <= len; j++)
{
if (len%j == 0)
{
for (k = j; k < len; k++)
{
if (str[k] != str[k%j])
break;
}
if (k == len)
{
printf("%d\n", j);
break;
}
}
}
if (i != n - 1)
printf("\n");
}
}
return 0;
}