A group whose automorphism group is cyclic Is there an Abelian group $A$ which is not locally cyclic whose automorphism group is cyclic ?

This MathOverflow question cites this paper, which says there are torsion-free groups of any finite rank of without automorphism group $C_2$, and which in turn cites this paper in which Theorem III says there are Abelian groups of all finite ranks $\ge 3$
with automorphism group $C_2$. Rank $>1$ means they can't be locally cyclic.
(the paper refers to an automorphism group $C_2$ as having only 'trivial' automorphisms.)
So the answer is yes.
