If money is not a huge deciding, I'd check out the MSI GS60 Ghost Pro (http

/www.newegg.com/Product/Product.aspx?Item=N82E16834152590).
It only weighs 4.3 lbs, which is perfect for a student! It can run LoL on maximum settings and it's a great looking laptop. The downside is the price tag and the battery life (only a few hours). This definitely in realm of "gaming laptop" so it may not be something you're looking for, but it's an extremely fast and lightweight laptop.
I'd also check out this (http

/www.amazon.com/Acer-V7-582PG-7657-15-6-Inch-Touchscreen-Ultrabook/dp/B00K2O4QPY/ref=sr_1_3?ie=UTF8&qid=1405469979&sr=8-3&keywords=acer+laptop+850m)
I'm not quite sure when the laptop will be released, but it can run LoL on high settings and it has a 6.5 hour battery life.

The laptop should be released soon since it was posted a month ago.