If you do it right you won't put on weight.
You won't find ONE right way to go about it.
Traditionally, and this was the case when I was running in college, you would do nautilus machines for about 30 minutes. 60s lift, change machines, 60s lift, continue. Basically mutliple sets of 10-15 reps for 6-8 exercises.
This traditional way of thinking is flawed though as it places uneeded training volume on a body that is already stressed from running. Lifting in this way it is also more likely you will add muscle if you are eating enough.
So, limit over fatigue, limit muscle hypertrophy, lift low volume, high load.
All exercises, light warmups, then 1 work set of 4-6 reps:
Squat
Bench
Row
Lunge
Shoulder Press
Lat Pulldown
Example: Squat, 45x10, 95x5, 135x5, 165x5
Use the search button. I've written at length on the topic.
If you want a program used by an elite athlete, Hicham El Guerrouj has a program out there. Also, Jay Johnson has some videos of some of his better athletes doing various routines.
Alan