Here's how it works, I will buy the worst 1H weapon posted in this thread by Midnight Mon 6th May Sydney time off the ah for 10,000,001 gold. (assuming some flipper doesn't beat me to it)
The weapon must be at least item lvl 60, rare or legendary, worst will be determined by lowest dps but -10 dps bonuses will apply to legendaries and items with wrong stats like a crossbow with str or a mighty weapon with dex as the highest roll.
to start the ball rolling is this 182 dps Axe I found:
and the winner was this most excellent ftw: http://i.imgur.com/dMMBnIB.png :-)