It will work.

V brakes require either special "long pull" drop levers, or a cable pull adaptor like the Travel Agent.

http://aebike.com/product/problem-so...r0411-qc30.htm

I prefer Avid SD7 series brakes over Shimano LX, XT series because they stop as well or better, weigh less, and cost about half as much.

http://www.pricepoint.com/detail/144...Brake-2010.htm

I just discovered Shimano no longer makes the parallelogram-mechanism brake it sold for many years. Now they sell a copy of the SD7, for twice the price. At least they used to sell you something for the extra cost, even if it was no more effective - now they just take your money.