One of my cousins graduated from LNCT Bhopal. According to him, the college does not really care if you bring a laptop or not. It is important only if you don't have a computer system at home.
If you're from CSE or IT departments, having a laptop becomes very important, almost necessary.
The laptop is though not mandatory in the classroom, but you should have it for the provision of self-study, projects and to learn and practice new programming languages. Also it is extremely necessary for practicing coding.
There are strict actions taken so that students do not use laptops or cellphones in the classroom. If it is for a class project or research, you might be able to use it then in a classroom. If you plan not to buy a laptop, you can buy a PC for your house.