Question

18. Write a program to input a list of numbers and test if a number is equal to the sum of the cubes of its digits.
Find the smallest and largest such number from the given list of numbers.
Solution​

Answer 1

A number that is equal to the sum of cubes of its digits is called an Armstrong number.

# A function to check Armstrong number

def is_armstrong(number):

   number_of_digits = len(str(number))

   temp = number

   sum_of_digits = 0

   while temp != 0:

       digit = temp % 10

       sum_of_digits += pow(digit, number_of_digits)

       temp //= 10

   return sum_of_digits == number

# Getting a sorted list of numbers

numbers = sorted([int(number) for number in input("Enter the numbers - ").split( )])

# Finding largest armstrong number

for largest in numbers[::-1]:

   if is_armstrong(largest):

       print("Largest Armstrong number -", largest)

       break

# Finding smallest armstrong number

for smallest in numbers:

   if is_armstrong(smallest):

       print("Smallest Armstrong number -", smallest)

       break