Lagging and reconnecting attempt.

What does a Pc need to play LoL because we really shouldn't play if riot just makes the game enjoyable only if you have a good pc. My internet isn't the best either, but I can go online and when I try to play LoL says attemting to reconnect while I was playing for sometime and it just goes attemting to reconnect while I have internet and I am afraid I might get LeaverBuster.