Python: Calculate Euclid's totient function of a given integer

Python Basic - 1: Exercise-120 with Solution

In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n. It is written using the Greek letter phi as φ(n) or ϕ(n), and may also be called Euler's phi function.
Write a Python program to calculate Euclid's totient function for a given integer. Use a primitive method to calculate Euclid's totient function.

Sample Solution:

Python Code:

def gcd(p,q):
# Create the gcd of two positive integers.
    while q != 0:
        p, q = q, p%q
    return p

def is_coprime(x, y):
    return gcd(x, y) == 1

def phi_func(x):
    if x == 1:
        return 1
    else:
        n = [y for y in range(1,x) if is_coprime(x,y)]
        return len(n)
print(phi_func(10))
print(phi_func(15))
print(phi_func(33))

Sample Output:

4
8
20

Flowchart:

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Write a Python program to check if two given numbers are Co Prime or not. Return True if two numbers are Co Prime otherwise return false.
Next: Write a Python program to create a coded string from a given string, using specified formula.