Lcm using recursion in python
Edit: I didn't read the recursive / one function bit in your question cause I'm dumb. Incorporated now. Show
The lcm isn't So the cleanest way to do this is:
If you are limited to recursion only (e.g. for an exam) then this doesn't have to be efficient, so you might as well just recursively count up until you find the lowest number that both x and y divide into:
That
just increases counter until LCM of a Number using RecursionOn this page we will learn to create a python program to find LCM of a Number using Recursion. LCM – Lowest common multiple of two or more number. Is Smallest number that it is completely divisible by all the numbers for which we are finding LCM. Example :
Method 1 : Using RecursionAlgorithm
Python CodeRun def hcf(a, b): if b == 0: return a else: return hcf(b, a % b) def lcm(a, b): return (a * b) // hcf(a, b) first = 23 second = 69 print("Lcm of", first, "and", second, "is", lcm(first, second)) Output : Method 2: Using LoopAlgorithm
Python CodeRun def hcf(a, b): if max(a, b) % min(a, b) == 0: return min(a, b) for i in range(1 + min(a, b) // 2, 0, -1): if a % i == b % i == 0: return i def lcm(a, b): return (a * b) // hcf(a, b) first = 23 second = 69 print('LCM of', first, 'and', second, 'is', lcm(first, second))
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LCM of two numbers in python | Least or lowest common multiple (LCM) of two integers a and b is the smallest positive number that is divisible by both a and b. Example:- This is a normal method to find lcm of the two numbers in python. We will take two numbers while declaring the variables. Python program to find lcm of the two numbers using if-else statement and while loop.
Output for the different input value:- Enter first number: 2 Enter first number: 3 Enter first number: 20 In each iteration, we check if both the numbers perfectly divide our number. If so, we store the number as L.C.M. and break from the loop. Otherwise, the number is incremented by 1 and the loop continues. LCM Function in PythonWe can also take the help of a function to find lcm of the two numbers in python. A function is a block of code that performs a specific task.
Output:- Enter first number: 50 Program using GCDThe above program methods are slower to run. We can make it more efficient and faster by using the fact that the product of two numbers a and b is equal to the product of HCF(a,b) and LCM(a,b). a*b = HCF(a, b) * LCM(a, b) The HCF ( highest common factor ) is also referred also as GCD ( Greatest Common Measure ), Using this formula we can find GCD and LCM at a time. We need to find either GCD and LCM and then apply this formula. In the below program to find the LCM of two numbers in python; First, we find the HCF then using the formula LCM will be calculated. The Formula used for this purpose is:- LCM(a, b) = (a*b) / HCF(a, b)
Output:- Enter first number: 10 LCM of Two Numbers in Python using RecursionWe can also use the recursion technique to find the lcm of two numbers. A technique of defining the method/function that contains a call to itself is called recursion. The recursive function/method allows us to divide the complex problem into identical single simple cases that can handle easily. This is also a well-known computer programming technique: divide and conquer.
Output:- Enter
first number: 9 Also See:- Find Factorial of a Number in Python If you enjoyed this post, share it with your friends. Do you want to share more information about the topic discussed above or do you find anything incorrect? Let us know in the comments. Thank you! How do you find LCM with recursion?lcm(a, b); //call the function lcm recursively.. Take the two numbers a and b as input.. Take another variable max and store the maximum of two numbers into it.. Run a while loop until max is completely divisible by both the numbers a and b.. Increment the value of max by 1, each time while-loop is entered.. How do you do LCM in python?num1 = int(input("Enter first number: ")) num2 = int(input("Enter second number: ")) # printing the result for the users. print("The L.C.M. of", num1,"and", num2,"is", calculate_lcm(num1, num2))
How do you find the LCM in a while loop in python?Step 1:Initially, Get 2 Integer Inputs from the user using int(input()). Step 2:Find the greater number by using an If condition and assign it to the variable 'max'. Step 3:Within the while loop, Use an If condition to check whether the remainder of (max% a) and (max% b) equals to zero or not.
How do you print HCF and LCM in python?Algorithm. Initialize HCF = 1.. Run a loop in the iteration of (i) between [1, min(num1, num2)]. Note down the highest number that divides both num1 & num2.. If i satisfies (num1 % i == 0 && num2 % i == 0) then new value of HCF is i.. Use lcm formula :- (num1*num2) / hcf.. Print the output.. |