How to easily set up all coefficients to be positive in Solving an integer equation?

*To*: mathgroup at smc.vnet.net*Subject*: [mg124304] How to easily set up all coefficients to be positive in Solving an integer equation?*From*: Rex <aoirex at gmail.com>*Date*: Mon, 16 Jan 2012 17:11:13 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Given a vector `A==[a_1, a_2, a_3,...,a_n]`, where a_i are integers, now solving an equation `=E2=88=91a_i * x_i==0` with all x_i>==0, and x_i to be integers. We can write some code like this `Solve[A . Table[x[i], {i, n}] == 0 && Table[x[i] > 0, {i, n}], Integers]` But the conditions above `Table[x[i] > 0` is not rightly coded. That should be `x[1]>0 && x[2]>0 && x[3]>0 &&...x[n]>0` Is there any easy way to write such code?