So far as I'm aware, Pathfinder details how to determine the cost and weight of weapons designed for Small, Medium, and Large creatures only: Cost is normal for weapons designed for Small and Medium weapons and doubled for weapons designed for Large creatures, and weight is halved for weapons designed for Small creatures, normal for weapons for Medium creatures, and doubled for weapons designed for Large creatures. (See Weapon Qualities on Price and Weight.)
If you're willing to use material from Pathfinder's antecedent Dungeons & Dragons 3.5, one of the last books in that game's line, the Rules Compendium, finally detailed how to compute bigger and littler weapons' costs and weights: For cost, it's a slightly more complicated version of the above:
A larger version costs twice the noted price per size category larger than Medium. A smaller version costs half the price per two size categories smaller than Medium (round up). (152)
But for weight, the original rules are merely extrapolated:
A larger version weighs twice as much per size category larger than Medium. A smaller version weighs half as much per size category smaller than Medium. (ibid.)
I've put this in a chart for convenience:
Size Cost Weight
Fine ×1/4 ×1/16
Diminutive ×1/2 ×1/8
Tiny ×1/2 ×1/4
Small ×1 ×1/2
Medium ×1 ×1
Large ×2 ×2
Huge ×4 ×4
Gargantuan ×8 ×8
Colossal ×16 ×16
This yields reasonable enough results in both games as almost everything seems to weigh too much anyway.