UVA - 455 - Periodic Strings

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {
   
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        StringBuffer sb = new StringBuffer("");
        StringBuilder str = new StringBuilder("");
        int cases=Integer.parseInt(br.readLine());
        for(int z=0;z<cases;z++) {
            if(z>0)
                sb.append("\n");
            br.readLine();
            str = new StringBuilder(br.readLine());
            int power = 1;
            for (int i = 2; i <str.length()+1; i++) {
                if (str.length() % i == 0) {
                    int period = str.length() / i;
                    boolean found = true;
                    for (int j = period; j < str.length(); j++) {
                        if (str.charAt(j) != str.charAt(j % period)) {
                            found = false;                           
                            break;                           
                        }
                    }
                    if (found) {                       
                        power = Math.max(power, i);                       
                    }
                }
            }
            sb.append(str.length()/power).append("\n");
        }
        System.out.print(sb);
    }
}