package Others;

/**
 * You can read more about Euler's totient function
 * <p>
 * See https://en.wikipedia.org/wiki/Euler%27s_totient_function
 */
public class EulersFunction {
 // This method returns us number of x that (x < n) and gcd(x, n) == 1 in O(sqrt(n)) time complexity;
 public static int getEuler(int n) {
 int result = n;
 for (int i = 2; i * i <= n; i++) {
 if (n % i == 0) {
 while (n % i == 0) n /= i;
 result -= result / i;
 }
 }
 if (n > 1) result -= result / n;
 return result;
 }

 public static void main(String[] args) {
 for (int i = 1; i < 100; i++) {
 System.out.println(getEuler(i));
 }
 }
}