You Do Need power plug adapter while traveling from Liechtenstein to Spain.

Here is Why You Need An Adapter

The outlet and plug type used in Spain are C and F and in Liechtenstein are C and J. This is how they look like.

Liechtenstein

In Liechtenstein, outlets of type C and J are in use.

Type C

Type J

Spain

In Spain, outlets of type C and F are in use.

Type C

Type F