It is a cliche but if you only do long slow runs you become a long slow runner. If you vary your pace in training, you wil improve over all distances. In 2009, 2010, 2011 I recorded half marathon PB's in May after an April marathon and 5k pb's in June.
My training was all for that April marathon, but the benefit of a combination of tempo run, intervals speed work and a long run made a massive overall difference.