A Bin Packing like problem

Hello;
I need an advice on a problem i'm trying to solve.
Assume that we have a big fixed integer and some other integers. What
algorithm you would suggest for the closest total of those integers.
As an example;
Assume we have a big int 300 and we have other integers 10 - 39 - 31 -
84 etc.
We shall select some integers and then sum them up to get close to 300
as possible. We don't need to use all integers.

Thank you...

.

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