Euler's totient function, also known as phi-function ϕ(n), counts the number of integers between 1 and n inclusive, which are coprime to n. (Two numbers are coprime if their greatest common divisor (GCD) equals 1). """ def euler_totient(n):     """Euler's totient function or Phi function.     Time Complexity: O(sqrt(n))."""     result = n     for i in range(2, int(n ** 0.5) + 1):         if n % i == 0:             while n % i == 0:                 n //= i.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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#4.

Euler's totient function, also known as phi-function ϕ(n),
counts the number of integers between 1 and n inclusive,
which are coprime to n.
(Two numbers are coprime if their greatest common divisor (GCD) equals 1).
"""
def euler_totient(n):
    """Euler's totient function or Phi function.
    Time Complexity: O(sqrt(n))."""
    result = n
    for i in range(2, int(n ** 0.5) + 1):
        if n % i == 0:
            while n % i == 0:
                n //= i. 

 

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