The charmless charged two-body $b$-hadron decays represent an interesting way for testing the Standard Model and looking for signs of New Physics. In this presentation the latest LHCb results related to the time-integrated $C\!P$ asymmetries in $B^0\rightarrow K^{\pm} \pi^{\mp}$ and $B^0_s\rightarrow \pi^{\pm} K^{\mp}$ decays and the time-dependent $C\!P$ asymmetries in $B^0\rightarrow \pi^+ \pi^-$ and $B^0_s\rightarrow K^+K^-$ decays are highlighted. The measurements have been performed using a data sample of pp collisions corresponding to an integrated luminosity of $3~\mathrm{fb}^{-1}$, collected with the LHCb detector at centre-of-mass energies of 7 and 8 TeV.