#include using namespace std; #define overload2(a, b, c, ...) c #define overload3(a, b, c, d, ...) d #define overload4(a, b, c, d, e ...) e #define overload5(a, b, c, d, e, f ...) f #define overload6(a, b, c, d, e, f, g ...) g #define fast_io ios::sync_with_stdio(false); cin.tie(nullptr); #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") typedef long long ll; typedef long double ld; #define chmin(a,b) a = min(a,b); #define chmax(a,b) a = max(a,b); #define bit_count(x) __builtin_popcountll(x) #define leading_zero_count(x) __builtin_clz(x) #define trailing_zero_count(x) __builtin_ctz(x) #define gcd(a,b) __gcd(a,b) #define lcm(a,b) a / gcd(a,b) * b #define rep(...) overload3(__VA_ARGS__, rrep, rep1)(__VA_ARGS__) #define rep1(i,n) for(int i = 0 ; i < n ; i++) #define rrep(i,a,b) for(int i = a ; i < b ; i++) #define repi(it,S) for(auto it = S.begin() ; it != S.end() ; it++) #define pt(a) cout << a << endl; #define print(...) printall(__VA_ARGS__); #define debug(a) cout << #a << " " << a << endl; #define all(a) a.begin(), a.end() #define endl "\n"; #define v1(T,n,a) vector(n,a) #define v2(T,n,m,a) vector>(n,v1(T,m,a)) #define v3(T,n,m,k,a) vector>>(n,v2(T,m,k,a)) #define v4(T,n,m,k,l,a) vector>>>(n,v3(T,m,k,l,a)) templateistream &operator>>(istream&is,pair&p){is>>p.first>>p.second;return is;} templateostream &operator<<(ostream&os,const pair&p){os<istream &operator>>(istream&is,vector&v){for(T &in:v){is>>in;}return is;} templateostream &operator<<(ostream&os,const vector&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} templateistream &operator>>(istream&is,vector>&v){for(T &in:v){is>>in;}return is;} templateostream &operator<<(ostream&os,const vector>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?"\n":"");}return os;} templateostream &operator<<(ostream&os,const set&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} templateostream &operator<<(ostream&os,const multiset&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;} template void printall(Args... args){for(auto i:initializer_list>{args...}) cout< struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< mod >; struct Int128t { private: __int128_t v; public: Int128t() {} Int128t(const long long &a) { v = a; } Int128t(const string &s) { parse(s); } long long long_val() { return (long long)v; } __int128_t val() { return v; } __int128_t abs() { return v < 0 ? -v : v; } void set(const long long &a) { v = a; } void parse(const string &s) { v = 0; for ( char c : s ) { if ( isdigit(c) ) v = v * 10 + (c - '0'); } if ( s[0] == '-' ) v *= -1; } Int128t operator+=(const Int128t &a) { v += a.v; return *this; } Int128t operator-=(const Int128t &a) { v -= a.v; return *this; } Int128t operator*=(const Int128t &a) { v *= a.v; return *this; } Int128t operator/=(const Int128t &a) { v /= a.v; return *this; } Int128t operator%=(const Int128t &a) { v %= a.v; return *this; } Int128t& operator++() { ++v; return *this; } Int128t operator++(int) { Int128t tmp(*this); ++v; return tmp; } Int128t& operator--() { --v; return *this; } Int128t operator--(int) { Int128t tmp(*this); --v; return tmp; } Int128t operator-() const { return Int128t(-v); } Int128t operator+(const Int128t &p) const { return Int128t(*this) += p; } Int128t operator-(const Int128t &p) const { return Int128t(*this) -= p; } Int128t operator*(const Int128t &p) const { return Int128t(*this) *= p; } Int128t operator/(const Int128t &p) const { return Int128t(*this) /= p; } Int128t operator%(const Int128t &p) const { return Int128t(*this) %= p; } bool operator<(const Int128t &a) const { return v < a.v; } bool operator>(const Int128t &a) const { return v > a.v; } bool operator<=(const Int128t &a) const { return v <= a.v; } bool operator>=(const Int128t &a) const { return v >= a.v; } bool operator==(const Int128t &a) const { return v == a.v; } bool operator!=(const Int128t &a) const { return v != a.v; } Int128t operator<<(const Int128t &a) const { return Int128t(v << a.v); } Int128t operator>>(const Int128t &a) const { return Int128t(v >> a.v); } Int128t& operator<<=(const Int128t &a) { v <<= a.v; return *this; } Int128t& operator>>=(const Int128t &a) { v >>= a.v; return *this; } friend istream &operator>>(istream &is, Int128t &v) { string s; is >> s; v.parse(s); return is; } friend ostream &operator<<(ostream &os, const Int128t &v) { if ( !ostream::sentry(os) ) return os; char buf[64]; char *d = end(buf); __uint128_t tmp = (v.v < 0 ? -v.v : v.v); do { d--; *d = char(tmp % 10 + '0'); tmp /= 10; } while ( tmp ); if ( v.v < 0 ) { d--; *d = '-'; } int len = end(buf) - d; if ( os.rdbuf()->sputn(d, len) != len ) { os.setstate(ios_base::badbit); } return os; } }; using int128t = Int128t; void solve(){ int128t x, a, b; cin >> x >> a >> b; if(x % a == 0 && x % b == 0){ pt(1) return; } if(a == b){ pt(2) return; } if(a > b) swap(a,b); int128t g = gcd(a,b); int128t l = lcm(a,b); x %= l; int128t ax = a / g; int128t bx = b / g; int128t res = 1; res += ax * 2; res -= x / b * 2; if(x % b == 0) res -= 2; if(x % a == 0) res -= 1; res %= 998244353; pt(res) } int main(){ fast_io int t = 1; cin >> t; rep(i,t) solve(); }