A　Liouville　formalism　was　proposed　many　years　ago　to　account　for　the　black　hole　entropy.　It　was　recently　updated　to　connect　thermodynamics　of　general　black　holes,　in　particular　the　Hawking　temperature,　to　two-dimensional　Liouville　theory.　This　relies　on　the　dimensional　reduction　to　two-dimensional　black　hole　metric.　The　relevant　dilaton　gravity　model　can　be　rewritten　as　a　Liouville-like　theory.　We　refine　the　method　and　give　general　formulas　for　the　corresponding　scalar　and　energy-momentum　tensors　in　Liouville　theory.　This　enables　us　to　read　off　the　black　hole　temperature　using　a　relation　which　was　found　about　three　decades　ago.　Then　the　range　of　application　is　extended　to　include　nonspherical　black　holes　such　as　neutral　and　charged　black　rings,　topological　black　hole　and　the　case　coupled　to　a　scalar　field.　As　for　the　entropy,　following　previous　authors,　we　invoke　the　Lagrangian　approach　to　central　charge　by　Cadoni　and　then　use　the　Cardy　formula.　The　general　relevant　parameters　are　also　given.　This　approach　is　more　advantageous　than　the　usual　Hamiltonian　approach　which　was　used　by　the　old　Liouville　formalism　for　black　hole　entropy.