You Do Need power plug adapter while traveling from Libya to Vatican City.

Here is Why You Need An Adapter

The outlet and plug type used in Vatican City are C, F and L and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Vatican City

In Vatican City, outlets of type C, F and L are in use.

Type C

Type F

Type L