  It is shown that the algebra of continuous functions on the quantum
$2n+1$-dimensional lens space $C(L^{2n+1}_q(N; m_0,\ldots, m_n))$ is a graph
$C^*$-algebra, for arbitrary positive weights $ m_0,\ldots, m_n$. The form of
the corresponding graph is determined from the skew product of the graph which
defines the algebra of continuous functions on the quantum sphere $S_q^{2n+1}$
and the cyclic group $\mathbb{Z}_N$, with the labelling induced by the weights.
Based on this description, the K-groups of specific examples are computed.
Furthermore, the K-groups of the algebras of continuous functions on quantum
weighted projective spaces $C(\mathbb{WP}_q^n(m_0,\ldots, m_n))$, interpreted
as fixed points under the circle action on $C(S_q^{2n+1})$, are computed under
a mild assumption on the weights.
