Back when I actually lifted weights, I found that a quick run, 5-10 minutes, at a brisk pace (usually on a treadmill) was a great complement to my warm up. Got the heart going, got the body going, and loosened me up even more. Then follow up the weightlifting with a good run like Seaver suggested.
I doubt you could run long enough to be effective and then still get in a good workout on the weights, so Id certainly get in the workout run afterwards.
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"Good people do not need laws to tell them to act responsibly, while bad people will find a way around the laws."
--Plato
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