solving an equation where some unknowns must be integers

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Published on 2010-06-08T06:53:22Z Indexed on 2010/06/08 7:02 UTC
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(in the following, t1...tn, C1...Cn, 1 through n are subscripts)

Solve for s, and t1...tn that minimizes the following summation:

summation from k = 1 to n of: (1-(min(s*tk,Ck)/max(s*tk,Ck))),

where

C1...Cn are constants greater than 1, s is positive, t1...tn are positive integers

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