School/Games/Laptop Advice

I would like a laptop that can run League of Legends at high fps when benchmarked (preferably able to stream). I also need something dependable that won't fall apart in a few months. I looked around on many different sites (mainly newegg) and was looking for advice, as you guys have never failed me in the past.

Here are a few of the laptops I was looking at:

Acer Aspire V3-551G: http://bit.ly/17GqM1s

Acer Aspire V3-771G: http://bit.ly/11yaxiS

Lenovo G780: http://bit.ly/10tqiey

I heard Acer and Lenovo were good choices? What about HP ?

Any help would be awesome, thanks.

 

Sorry for double post, but I'd rather not spend anything over $700. Preferably something in the $500-$700 range.