Python Challenges: Find the smallest positive number that is evenly divisible by all of the numbers from 1 to 30
Python Challenges - 1: Exercise-37 with Solution
Write a Python program to find the smallest positive number that is evenly divisible by all of the numbers from 1 to 30.
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.
Result: 2329089562800.0
Sample Solution:-
Python Code:
def gcd(x,y): return y and gcd(y, x % y) or x
def lcm(x,y): return x * y / gcd(x,y)
n = 1
for i in range(1, 31):
n = lcm(n, i)
print(n)
Sample Output:
2329089562800.0
Flowchart:
Python Code Editor:
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Previous: Write a Python program to find the largest palindrome made from the product of two 4-digit numbers.
Next: Write a python program to find the difference between the sum of the squares of the first two hundred natural numbers and the square of the sum.
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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
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