java
Parameters: int num1, int num2
num1 and num2: the two integers to find the least common multiple for.
Returns: An integer representing the least common multiple of num1 and num2.
This java function calculates the least common multiple (LCM) of two numbers. It utilizes the mathematical concept of Greatest Common Divisor (GCD) to find the LCM.
Hello Programmer! Welcome to our blog post. We are here to share a simple method on how to write a function in java to find the Least Common Multiple (LCM) of two numbers. This concise guide provides with you a step by step approach to create this function effectively, it also takes into consideration best programming practices. Relax, take it slow and it will be an easy sail. Read on, programmer!
The task at hand is to find the least common multiple (LCM) of two given integers. The LCM of two numbers can be found by determining the multiples of each number and then finding the least number which is common to both sets of multiples. In programming terms, you can solve this by using a while loop until you find the LCM.
In Java, you would start off your function like this:
public static int findLCM(int num1, int num2) {
int lcm = Math.max(num1, num2);
...
}
Next, you will add a while loop inside the function. The loop should continue as long as the LCM is not a multiple of both numbers. This can be checked using the modulo operator (%).
public static int findLCM(int num1, int num2) {
int lcm = Math.max(num1, num2);
while (true) {
if (lcm % num1 == 0 && lcm % num2 == 0) {
break;
}
lcm++;
}
...
}
Once the loop ends, it means that the LCM has been found, so you can return that number from the function.
public static int findLCM(int num1, int num2) {
int lcm = Math.max(num1, num2);
while (true) {
if (lcm % num1 == 0 && lcm % num2 == 0) {
break;
}
lcm++;
}
return lcm;
}
After implementing the function, you should always test it to make sure it works as expected. You can do this by calling the function with test cases for which you know the expected output.
public static void main(String[] args) {
System.out.println(findLCM(4, 5)); // Output: 20
System.out.println(findLCM(7, 3)); // Output: 21
}
In conclusion, to find the LCM of two numbers in Java, you start by initializing the LCM as the larger of the two numbers. Then, you keep incrementing the LCM until it becomes a multiple of both numbers. Once it does, you have found the LCM, so you can return it from the function.
The smallest positive integer that is a multiple of two or more numbers.
Learn moreThe principle used here is a property of numbers which states that the product of two numbers is equal to the product of their Least Common Multiple (LCM) and their Greatest Common Divisor (GCD). So, `lcm(a, b) = (a*b) / gcd(a, b)`. The function first computes the GCD of the two numbers and then uses this formula to find the LCM.
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