#line 1 "c.cpp" #include #include #define rep(i,n) for (int i = 0; i < int(n); ++i) #define repp(i,n,m) for (int i = m; i < int(n); ++i) #define repb(i,n) for (int i = int(n)-1; i >= 0; --i) #define all(v) v.begin(),v.end() using namespace std; using namespace atcoder; using ll = long long; using ld = long double; using P = pair; using PL = pair; using pdd = pair; using pil = pair; using pli = pair; using ppi = pair; using pip = pair; const int INF = 1001001007; const long long mod1 = 1000000007LL; const long long mod2 = 998244353LL; const ll inf = 2e18; const ld pi = 3.14159265358979323; const ld eps = 1e-7; templatevoid o(T a); templateistream &operator>>(istream &is,vector &v){for(auto &e:v)is>>e;return is;} templatebool range(T a,T b,T x){return (a<=x&&xbool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));} templatevoid rev(vector &v){reverse(v.begin(),v.end());} void revs(string &s) {reverse(s.begin(),s.end());} templatevoid sor(vector &v, int f=0){sort(v.begin(),v.end());if(f!=0) rev(v);} templatebool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;} templatebool chmax(T &a,const T &b){if(avoid uniq(vector &v){sor(v);v.erase(unique(v.begin(),v.end()),v.end());} templateT cel(T a,T b){return (a+b-1)/b;} templatevoid print(pair a); templatevoid print(vector v); templatevoid print(vector> v); void print(){ putchar(' '); } void print(bool a){ printf("%d", a); } void print(int a){ printf("%d", a); } void print(long a){ printf("%ld", a); } void print(long long a){ printf("%lld", a); } void print(char a){ printf("%c", a); } void print(char a[]){ printf("%s", a); } void print(const char a[]){ printf("%s", a); } void print(long double a){ printf("%.15Lf", a); } void print(const string& a){ for(auto&& i : a) print(i); } void print(unsigned int a){ printf("%u", a); } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } void o(){cout<<"!?"<void o(T a){cout<void print(pair a){print(a.first);print(),print(a.second);} templatevoid print(vector v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}} templatevoid print(vector> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}} void yes(){out("Yes");} void no (){out("No");} void yn (bool t){if(t)yes();else no();} vector dx = {0,1,0,-1,1,1,-1,-1}; vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout< a){vector b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);} void out(vector> a){for (auto v : a) out(v);} istream &operator>>(istream &is,vector &v){for(auto &e:v){ll _x;is>>_x;e=_x;}return is;} #line 2 "math.hpp" namespace noya2{ using ll = long long; ll safe_mod(ll a, ll m){ // m >= 1, 0 <= safe_mod(a,m) < m, safe_mod(a,m) = a (mod m) ll res = a % m; if (res < 0) res += m; return res; } struct math{ static ll gcd(ll a, ll b){return b?gcd(b,a%b):a;} static void ext_gcd1_plus(ll a, ll b, ll &x, ll &y){ // gcd(a,b) = 1, a >= 0, b >= 0, ax + by = 1 if (b == 0){ // a = 1 x = 1, y = 0; return ; } ext_gcd1_plus(b, a%b, y, x); x = safe_mod(x,b); y = (1 - a * x) / b; } static void ext_gcd1_minus(ll a, ll b, ll &x, ll &y){ // gcd(a,b) = 1, a >= 0, b >= 0, ax - by = 1 if (b == 0){ // a = 1 x = 1, y = 0; return ; } ext_gcd1_plus(b, a%b, y, x); x = safe_mod(x,b); y = (a * x - 1) / b; } }; ll safe_gcd(ll a, ll b){return math::gcd(abs(a),abs(b));} // safe_gcd(0,0) = 0 ll safe_lcm(ll a, ll b){return abs(a) / safe_gcd(a,b) * abs(b);} struct line{ ll a, b, c; // ax + by = c void norm(){ // a >= 0, if (a == 0) -> b >= 0, gcd(a,b,c) = 1 if (a < 0) a = -a, b = -b, c = -c; if (a == 0) if (b < 0) b = -b, c = -c; ll g = safe_gcd(safe_gcd(a,b),c); a /= g, b /= g, c /= g; } line (ll _a = 1, ll _b = 0, ll _c = 0) : a(_a), b(_b), c(_c) { assert(_a != 0 || _b != 0); norm(); } line (ll x1, ll y1, ll x2, ll y2){ // (x1,y1) --- (x2,y2) assert(x1 != x2 || y1 != y2); ll wx = x2 - x1, wy = y2 - y1; ll wg = safe_gcd(wx,wy); a = wy / wg, b = -wx / wg; c = a * x1 + b * y1; norm(); } static line get_line(ll x1, ll y1, ll ex, ll ey){ // y = ey/ex (x - x1) + y1 return line(ey,-ex,ey*x1-ex*y1); } static line vertical_line(ll x1, ll y1, ll x2, ll y2){ // perpendicular bisector ll ex = y2 - y1, ey = x1 - x2; return line(ey*2,-ex*2,ey*(x1+x2)-ex*(y1+y2)); } bool operator<(const line &rhs) const { return vector{a,b,c} < vector{rhs.a,rhs.b,rhs.c}; // to use set or map for line } }; pair ext_gcd(ll a, ll b, ll c){ // ax + by = c, |a|,|b|,|c| < 1e9, x <= max(|B|,|C|), y<= max(|A|,|C|) if (a < 0) return ext_gcd(-a,-b,-c); if (c < 0){ pair res = ext_gcd(a,b,-c); res.first = -res.first, res.second = -res.second; return res; } if (c == 0) return pair(0,0); if (a == 0 && b == 0) return pair(0,0); // answer not exist ll g = safe_gcd(a,b); if (c % g != 0) return pair(0,0); // answer not exist a /= g, b /= g, c /= g; ll x, y; if (b == 0) return pair(c,0); if (b > 0) math::ext_gcd1_plus(a,b,x,y); else math::ext_gcd1_minus(a,-b,x,y); x = safe_mod(x*c,abs(b)); y = (c - a * x) / b; return pair(x,y); } template T safe_ceil(T p, T q); template T safe_floor(T p, T q){ if (q < T(0)) return safe_floor(-p,-q); if (p >= T(0)) return p / q; return -safe_ceil(-p,q); } template T safe_ceil(T p, T q){ if (q < T(0)) return safe_ceil(-p,-q); if (p >= T(0)) return (p + q - 1) / q; return -safe_floor(-p,q); } }// namespace noya2 #line 76 "c.cpp" void solve(){ int n; cin >> n; vector a(n); cin >> a; repp(i,n,1) rep(j,i){ ll g = noya2::safe_gcd(a[i],a[j]); a[i] /= g; a[j] /= g; } auto is_square = [](ll x){ ll le = 0, ri = 1'000'000'001LL; while (ri - le > 1){ ll mid = (le + ri) / 2; if (mid * mid <= x) le = mid; else ri = mid; } return le * le == x; }; bool ok = true; rep(i,n) if (!is_square(a[i])) ok = false; yn(ok); } int main(){ fast_io(); int t = 1; cin >> t; while(t--) solve(); }