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 45Input : 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 :
Python3
# Python program to print all the numbers# divisible by 3 and 5 for a given number# Result function with Ndef result(N): # iterate from 0 to N for num in range(N): # Short-circuit operator is used if num % 3 == 0 and num % 5 == 0: print(str(num) + " ", end = "") else: pass# Driver codeif __name__ == "__main__": # input goes here N = 100 # Calling function result(N) |
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.
Python3
# python code to print numbers that# are divisible by 3 and 5 n=50for i in range(0,n): # lcm of 3 and 5 is 15 if i%15==0: print(i,end=" ") |
0 15 30 45
Time Complexity: O(n)
Auxiliary Space: O(1)
Alternate Method:Using list comprehension.
Python3
# python code to print numbers that# are divisible by 3 and 5 using list comprehensionn = 50result = [i for i in range(n) if i%3==0 and i%5==0]print(result) |
[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!
