AshutoshChoudhary's blog

[Question] — Sum of value of GCD for all possible pairs
By AshutoshChoudhary, history, 10 months ago, In English

Q: Given an array of n integers, find the sum of value of GCD for all possible pairs.

2 <= n <= 10 ^ 5

1 <= a[i] <= 10 ^ 5

Tags gcd
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10 months ago, # |
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u can use gcd convulation

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    10 months ago, # ^ |
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    I'm unaware about that technique, can you please describe the algorithm ?

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    10 months ago, # ^ |
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    or what we can do is count no.of pairs having (gcd=x) for every x from 1 to 1e5 using dp,now iterate over this x,so your answer is summation(x*(cnt)),this is standard question,ping me if you want implementation

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      10 months ago, # ^ |
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      please show the implementation

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        10 months ago, # ^ |
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        Spoiler
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10 months ago, # |
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you can dp on number of pairs with gcd x, an then simply sum and multiply

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10 months ago, # |
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you can look up here, recent Div 2 D question Solution by MagentaCobra

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10 months ago, # |
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you may look at submissions / Tutorial for this problem

it discus the same idea you talk about....

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