Python Program to print all the numbers divisible by 3 and 5 for a given number

Given the integer N, the task is to print all the numbers less than N, which are divisible by 3 and 5.
Examples : 

Input : 50
Output : 0 15 30 45 

Input : 100
Output : 0 15 30 45 60 75 90 

Approach: For example, let's take N = 20 as a limit, then the program should print all numbers less than 20 which are divisible by both 3 and 5. For this divide each number from 0 to N by both 3 and 5 and check their remainder. If remainder is 0 in both cases then simply print that number.

Below is the implementation : 

0 15 30 45 60 75 90 

Time Complexity: O(N)
Auxiliary Space: O(1)

Alternative Method: This can also be done by checking if the number is divisible by 15, since the LCM of 3 and 5 is 15 and any number divisible by 15 is divisible by 3 and 5 and vice versa also. 

0 15 30 45 

Time Complexity: O(n)
Auxiliary Space: O(1)

Alternate Method:Using list comprehension.

[0, 15, 30, 45]

Time Complexity: O(n)
Auxiliary Space: O(n)

Please refer complete article on Program to print all the numbers divisible by 3 and 5 for a given number for more details!