Viton (material, not brand) O-rings handle high heat and last much longer than regular Buna-N O-rings. That being said, either will work but you have to replace the cheaper Buna rings much more often.
Factory Remington O-rings can be purchased, but they are comparatively expensive ($6 a piece or more). Here they are at Brownells:
http://www.brownells.com/.aspx/pid=324/Product/1100_11_87_BARREL_SEALS
If you want to get them from somewhere else or save a little coin, a 12 gauge takes a size 21 (15/16" I.D. X 1 1/16" O.D. X 1/16" thick), and a 20 gauge is a size 19. Some hardware stores may carry the Viton seals, but many will not.
Here's a place that carries a 6 pack of Viton rings for $1.50 plus shipping:
http://www.theoringstore.com/servlet/the-43/Remington-1187-11-dsh-87-1100/Detail
If you really want to get them inexpensively and/or have a lot of Remington shotguns, go to McMaster-Carr and order I believe part #9464k75. It is something like $8 for 50 of them plus shipping.
I agree completely with the comments above about cleaning the chamber and gas system well. Good luck.