I'm a professional game developer from Wakefield, England, working as a senior programmer for Rebellion North.

I'm a married father of five and I a also sometimes do Retroburn stuff.

Martin 'Bytrix' Caine

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Monday, May 31st 2010 / Web

Project Euler - problem 5

Problem 5 (yes these are pretty quick ones) from Project Euler is a really easy one again:

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.

What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?

I wrote a simple loop to increment a variable until it found a value that's division by 11,12,13,14,15,16,17,18,19 and 20 all resulted in whole numbers.

There was no need to test numbers between 1 and 10 since the numbers between 11 and 20 are all multiples of those anyway:



<?
/******************************************************************
*  ProjectEuler.net  *  Problem 5  *  2010-05-31  *  Martin Caine *
******************************************************************/

$i = 1;
while( !(( ($i/11) == (int)($i/11) ) &&
               ( ($i/12) == (int)($i/12) ) &&
               ( ($i/13) == (int)($i/13) ) &&
               ( ($i/14) == (int)($i/14) ) &&
               ( ($i/15) == (int)($i/15) ) &&
               ( ($i/16) == (int)($i/16) ) &&
               ( ($i/17) == (int)($i/17) ) &&
               ( ($i/18) == (int)($i/18) ) &&
               ( ($i/19) == (int)($i/19) ) &&
               ( ($i/20) == (int)($i/20) )) )
{
    $i++;    
}
echo $i;

?>

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Tags: php project euler web