  Using the previous obtained universal $R$-matrix for the quantized nontwisted
affine Lie algebras $U_q(A_1^{(1)})$ and $U_q(A_2^{(1)})$, we determine the
explicitly spectral-dependent universal $R$-matrix for the corresponding
quantum Lie algebras $U_q(A_1)$ and $U_q(A_2)$. As their applications, we
reproduce the well-known results in the fundamental representations and we also
derive an extreamly explicit formula of the spectral-dependent $R$-matrix for
the adjoint representation of $U_q(A_2)$, the simplest non-trival case when the
tensor product decomposition of the representation with itself has finite
multiplicity.
