Become a MacRumors Supporter for $50/year with no ads, ability to filter front page stories, and private forums.
I wonder if this will damage my laptop in the long run?
No, your temps are normal, considering the workload you're putting on your system. Macs will automatically manage temps and fan speeds to keep them within a safe operating range. If your Mac truly overheats, it will automatically shut down to prevent damage.
 
Register on MacRumors! This sidebar will go away, and you'll see fewer ads.