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Python Math: Find the smallest multiple of the first n numbers

Python Math: Exercise-10 with Solution

Write a Python program to find the smallest multiple of the first n numbers. Also, display the factors.

Sample Solution:-

Python Code:

def smallest_multiple(n):
    if (n<=2):
      return n
    i = n * 2
    factors = [number  for number in range(n, 1, -1) if number * 2 > n]
    print(factors)

    while True:
        for a in factors:
            if i % a != 0:
                i += n
                break
            if (a == factors[-1] and i % a == 0):
                return i
                
print(smallest_multiple(13))
print(smallest_multiple(11))
print(smallest_multiple(2))
print(smallest_multiple(1))

Sample Output:

[13, 12, 11, 10, 9, 8, 7]
360360
[11, 10, 9, 8, 7, 6]
27720
2
1

Flowchart:

Flowchart: Find the smallest multiple of the first n numbers

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Previous: Write a Python program to calculate the discriminant value.
Next: Write a Python program to calculate the difference between the squared sum of first n natural numbers and the sum of squared first n natural numbers.(default value of number=2).

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os 
dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os
cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

  • The os and os.path modules.
  • The __file__ constant
  • os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
  • os.path.dirname(path) (returns "the directory name of pathname path")
  • os.getcwd() (returns "a string representing the current working directory")
  • os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m