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
Question
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
Solution
Here is a Python solution for the problem:
def calculate_hcf_and_lcm(n1, n2):
# calculate HCF
if n1 > n2:
smaller = n2
else:
smaller = n1
for i in range(1, smaller+1):
if((n1 % i == 0) and (n2 % i == 0)):
hcf = i
# calculate LCM
lcm = (n1*n2)//hcf
return hcf, lcm
n1, n2 = map(int, input().split())
hcf, lcm = calculate_hcf_and_lcm(n1, n2)
print("HCF = ", hcf)
print("LCM = ", lcm)
This program works by first determining the smaller of the two input numbers. It then uses a for loop to iterate
Similar Questions
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
HCFWrite a program to find out the Highest Common Factor for given two numbers.
Write a program to find out the Highest Common Factor for given two numbers.
C Program to Find LCM of two
Single File Programming QuestionProblem StatementLily is working on a program to find perfect numbers within a user-defined range. Create a program for her that helps find and display all the perfect numbers within a user-defined range a and b.A perfect number is a number for which the sum of its proper divisors (excluding the number itself) equals the number itselfAsk Lily for the starting and ending values (both inclusive) of the range and display the perfect numbers found.Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of two space-separated integers a and b, representing the starting and ending range, respectively.Output format :The output prints the perfect numbers present in the given range, separated by a space.If there are no perfect numbers present, the output prints "No perfect numbers".Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:5 ≤ a < b ≤ 105Sample test cases :Input 1 :6 28Output 1 :6 28Input 2 :10 100000Output 2 :28 496 8128Input 3 :50 60Output 3 :No perfect numbers
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