Implement a program that takes two positive integers A and B in the input and prints their LCM.Definition of LCM : The Least Common Multiple or LCM of two numbers say A and B, is denoted as LCM (A,B). And the LCM is the smallest or least positive integer that is divisible by both A and B.Problem Constraint
Question
Implement a program that takes two positive integers A and B in the input and prints their LCM.Definition of LCM : The Least Common Multiple or LCM of two numbers say A and B, is denoted as LCM (A,B). And the LCM is the smallest or least positive integer that is divisible by both A and B.Problem Constraint
Solution
To implement a program that calculates the LCM (Least Common Multiple) of two positive integers A and B, follow these steps:
- Take input for the two positive integers A and B.
- Initialize a variable lcm as the maximum of A and B.
- Use a while loop to check if lcm is divisible by both A and B. If not, increment lcm by the maximum of A and B.
- Once lcm is found to be divisible by both A and B, exit the loop.
- Print the value of lcm as the LCM of A and B.
Here is the code implementation in Python:
# Step 1: Take input for A and B
A = int(input("Enter the first positive integer: "))
B = int(input("Enter the second positive integer: "))
# Step 2: Initialize lcm as the maximum of A and B
lcm = max(A, B)
# Step 3: Find the LCM using a while loop
while True:
if lcm % A == 0 and lcm % B == 0:
break
lcm += max(A, B)
# Step 5: Print the LCM
print("The LCM of", A, "and", B, "is", lcm)
This program takes two positive integers A and B as input and calculates their LCM using a while loop. It checks if the current value of lcm is divisible by both A and B, and if not, increments lcm by the maximum of A and B. Once lcm is found to be divisible by both A and B, the loop is exited and the LCM is printed.
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C Program to Find LCM of two
Single File Programming QuestionProblem StatementSam is on a quest to decipher enchanted scrolls in an ancient temple that requires unveiling the HCF (Greatest Common Divisor) and LCM (Least Common Multiple) of two numbers. Write a program where Sam enters two positive integers, calculates the HCF and LCM using a for loop, and displays them.ExampleInput:6 3Output:HCF = 3LCM = 6Explanation:HCF (Greatest Common Divisor) of two numbers is the largest number that divides both of them without leaving a remainder.For 6 and 3, the common divisors are 1 and 3. The largest of these is 3, so the HCF is 3.LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both.To find the LCM, we typically use the formula: LCM(a, b) = (a * b) / HCF(a, b).For 6 and 3, (6 * 3) / 3 = 18 / 3 = 6. So, the LCM is 6.Note: This question helps in clearing AMCAT exam.Input format :The input consists of two space-separated integers: n1 and n2.Output format :The first line prints "HCF = " followed by an integer which is the HCF of n1 and n2.The second line prints "LCM = " followed by an integer which is the LCM of n1 and n2.Refer to the sample outputs for the formatting specifications.Code constraints :In this scenario, the test cases fall under the following constraints:1 ≤ n1, n2 ≤ 1000Sample test cases :Input 1 :6 3Output 1 :HCF = 3LCM = 6Input 2 :1000 1Output 2 :HCF = 1LCM = 1000
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