Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
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.

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
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
Problem 1PE
See similar textbooks
icon
Related questions
Question

#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. 

 

Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Array
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS