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POOptimising code to find the lowest number divisible by all integers between 1-20
 

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  1. POOptimising code to find the lowest number divisible by all integers between 1-20
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    <p>I'm currently trying to problem solve to the question 'What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?'</p> <p>So far I've coded something up that seems to work, but takes a very long time. Furthermore, I'm having to huge amounts of 'and' statements within an if, which doesn't seem awfully efficient nor professional.</p> <p>What can I do to optimise this code and make it tidier perhaps?</p> <pre><code>number = 1 result = 0 def divide(candidate): if candidate % 2 == 0 and candidate % 3 == 0 and candidate % 4 == 0 and candidate % 5 == 0 and candidate % 6 == 0 and candidate % 7 == 0 and candidate % 8 == 0 and candidate % 9 == 0 and candidate % 10 == 0 and candidate % 11 == 0 and candidate % 12 == 0 and candidate % 13 == 0 and candidate % 14 == 0 and candidate % 15 == 0 and candidate % 16 == 0 and candidate % 17 == 0 and candidate % 18 == 0 and candidate % 19 == 0 and candidate % 20 == 0: global result result = 1 return 1 else: global number result = 0 number = number + 1 return 0 while result == 0: divide(number) print "The lowest number divisible by all integers between 1-20 is:", number </code></pre> <p>Just to clarify, this isn't homework, I'm self-teaching myself Python and am attempting some ProjectEuler problems as part of this.</p>
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      1. POOptimising code to find the lowest number divisible by all integers between 1-20
      1. USJames Dietz
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    1. COIs this homework? A hint: Do you really have to check for divisibility by ALL numbers between 1 and 20? If a number is divisible by 2 and 3, what other numbers between 1 and 20 is it also divisible by?
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      1. USPraveen Gollakota
    2. COIt's not homework, I'm just self-teaching python outside of my academics. And good point, thankyou!
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    3. COYou might be interested in googling for "least common multiple".
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