import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } string COLOR(string s = "") { return "\x1b[" ~ s ~ "m"; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum LIM = 10^^6 + 10; int[] lpf, moe; void main() { lpf = iota(LIM).array; foreach (p; 2 .. LIM) if (lpf[p] == p) { for (int n = 2 * p; n < LIM; n += p) chmin(lpf[n], p); } moe = new int[LIM]; moe[1] = 1; foreach (n; 2 .. LIM) { const p = lpf[n]; moe[n] = (n / p % p == 0) ? 0 : -moe[n / p]; } debug { writeln(moe[0 .. 31]); } try { for (; ; ) { const L = readLong; const N = readInt; auto A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong; } long ans; for (long e = 0; 2L^^e <= L; ++e) { for (long f = 0; 2L^^e * 3L^^f <= L; ++f) { const x = 2L^^e * 3L^^f; int cnt; foreach (i; 0 .. N) if (x % A[i] == 0) { const y = x / A[i]; if (y % (2^^2) != 0 && y % (3^^2) != 0) { ++cnt; } } if (cnt & 1) { debug { writefln("2^%s 3^%s = %s", e, f, x); } const l = L / x; long num; for (long d = 1; d^^2 <= l; ++d) if (d % 2 != 0 && d % 3 != 0 && moe[d]) { long s; s += l / (d^^2); s -= l / (2 * d^^2); s -= l / (3 * d^^2); s += l / (6 * d^^2); num += moe[d] * s; } ans += num; } } } writeln(ans); } } catch (EOFException e) { } }