diff --git a/Others/EulersFunction.java b/Others/EulersFunction.java new file mode 100644 index 00000000..27f4f1f7 --- /dev/null +++ b/Others/EulersFunction.java @@ -0,0 +1,20 @@ +//You can read more about Euler's totient function 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)); + } + } +}