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

Here is Why You Need An Adapter

The outlet and plug type used in Libya are C and L and in Réunion are C and E. This is how they look like.

Réunion

In Réunion, outlets of type C and E are in use.

Type C

Type E

Libya

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

Type C

Type L