# Simple and elegant

Continuing the discussion from freeCodeCamp Challenge Guide: Smallest Common Multiple:

Found this from the discussion section submitted by a user.

``````function smallestCommons(arr) {

var max = Math.max(arr[0], arr[1]);
var min = Math.min(arr[0], arr[1]);
var mltple = max;

for(var i = max; i >= min; i--){
if(mltple % i !== 0){
mltple += max;
i = max;
}
}

return mltple;
}
``````

Need help to explain this please…

Thanks~

what do you need explained?
what do you understand, what does confuse you?

Your code has been blurred out to avoid spoiling a full working solution for other campers who may not yet want to see a complete solution. In the future, if you post a full passing solution to a challenge and have questions about it, please surround it with `[spoiler]` and `[/spoiler]` tags on the line above and below your solution code.

Thank you.

I’ve edited your post for readability. When you enter a code block into a forum post, please precede it with a separate line of three backticks and follow it with a separate line of three backticks to make it easier to read.

See this post to find the backtick on your keyboard. The “preformatted text” tool in the editor (`</>`) will also add backticks around text.

Note: Backticks are not single quotes.

sorry but someone can explain me the procces, i understand the min and max metodh but the if inside the for loop dont understand it,if someone can explain me thanks;
i know that this solution is basic and readable but well i want know why/how give the result…

I had a similar thought process for this problem, but couldn’t figure how to write it up until I saw his code (I was trying to use a while loop in the for loop, etc what a mess).

I will break it down how I understood it using smallestCommons ([1,3])
So the min = 1 & max = 3
He has set his variable mltple equal to max (or 3 in this case)

The for loop is created to go 3 --> 2 --> 1 then break

The if statement condition essentially says that the remainder of mltple divided by i does not equal 0 and if that is true then execute the below code which is max is added to mltple and i is reset to max (or 3). If the if statement is false, where the remainder does = 0, then you will decrease i by 1 and run through the loop again.

So starting with i = 3
3 % 3 !== 0 is false --> move to i =2
3 % 2 !== 0 is true --> 3 + 3, i = 3
6 % 3 !==0 is false --> move to i =2
6 % 2 !==0 is false --> move to i = 1
6 % 1 !==0 is false --> for loop breaks because of initial condition

then the code says to return mltple, which is 6 at the time of the for loop breaking.

As you can see, 6 is divisible by all the numbers in the range of 1 to 3. This is why you have to work incrementally from greatest to smallest.

Hope that helps!

1 Like