If you are hungry, then that's actually a good sign. Running is speeding up your metabolism!
That said...I definitely wouldn't stop running to lose weight. That IMHO, would be self defeating.
You can always just eat a little more. That's what I did. I usually made a nice protein smoothie or that I drank right after my run (or I had an Atkins Choco-Peanut Butter Protein bar w/16 oz water):
1 scoop zero carb vanilla isopure whey
1/2 banana
handful strawberries
1/4 cup regular milk
2-3 tsp splenda
lots and lots of ice
Makes about 32 oz of frosty, delishous, very filling goodness!
If your still hungry after that...you can always eat some juicy type fruit like watermelon or pineapple, etc.
Happy eating.